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Finding the Fourth Proportional to 51,888.64, 71,606.40 and 30,678.40

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Solution

The fourth proportional to 51,888.64, 71,606.40 and 30,678.40 is: 42,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,888.64 : 71,606.40 = 30,678.40 : x
  2. Step 2: Convert to fraction form
    51,888.64/71,606.40 = 30,678.40/x
  3. Step 3: Cross multiply
    51,888.64x = 71,606.40 × 30,678.40
  4. Step 4: Simplify right side
    51,888.64x = 2,196,769,781.76
  5. Step 5: Solve for x
    x = 2,196,769,781.76/51,888.64
  6. Step 6: Final answer
    x = 42,336.24

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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.