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Finding the Fourth Proportional to 64,877.88, 97,308.45 and 20,509.13

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Solution

The fourth proportional to 64,877.88, 97,308.45 and 20,509.13 is: 30,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,877.88 : 97,308.45 = 20,509.13 : x
  2. Step 2: Convert to fraction form
    64,877.88/97,308.45 = 20,509.13/x
  3. Step 3: Cross multiply
    64,877.88x = 97,308.45 × 20,509.13
  4. Step 4: Simplify right side
    64,877.88x = 1,995,711,164.61
  5. Step 5: Solve for x
    x = 1,995,711,164.61/64,877.88
  6. Step 6: Final answer
    x = 30,761.04

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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.