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Finding the Fourth Proportional to 78,407.38, 108,202.29 and 42,597.41

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Solution

The fourth proportional to 78,407.38, 108,202.29 and 42,597.41 is: 58,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.38 : 108,202.29 = 42,597.41 : x
  2. Step 2: Convert to fraction form
    78,407.38/108,202.29 = 42,597.41/x
  3. Step 3: Cross multiply
    78,407.38x = 108,202.29 × 42,597.41
  4. Step 4: Simplify right side
    78,407.38x = 4,609,137,310.07
  5. Step 5: Solve for x
    x = 4,609,137,310.07/78,407.38
  6. Step 6: Final answer
    x = 58,784.49

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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.