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Finding the Fourth Proportional to 98,685, 136,188.54 and 53,973

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Solution

The fourth proportional to 98,685, 136,188.54 and 53,973 is: 74,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,685 : 136,188.54 = 53,973 : x
  2. Step 2: Convert to fraction form
    98,685/136,188.54 = 53,973/x
  3. Step 3: Cross multiply
    98,685x = 136,188.54 × 53,973
  4. Step 4: Simplify right side
    98,685x = 7,350,504,069.42
  5. Step 5: Solve for x
    x = 7,350,504,069.42/98,685
  6. Step 6: Final answer
    x = 74,484.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.