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Finding the Fourth Proportional to 132,407,728.40, 198,493,397.40 and 51,609,904.40

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Solution

The fourth proportional to 132,407,728.40, 198,493,397.40 and 51,609,904.40 is: 77,368,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,407,728.40 : 198,493,397.40 = 51,609,904.40 : x
  2. Step 2: Convert to fraction form
    132,407,728.40/198,493,397.40 = 51,609,904.40/x
  3. Step 3: Cross multiply
    132,407,728.40x = 198,493,397.40 × 51,609,904.40
  4. Step 4: Simplify right side
    132,407,728.40x = 10,244,225,263,845,208
  5. Step 5: Solve for x
    x = 10,244,225,263,845,208/132,407,728.40
  6. Step 6: Final answer
    x = 77,368,786.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.