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Finding the Fourth Proportional to 72,435.78, 108,657.30 and 25,692.30

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Solution

The fourth proportional to 72,435.78, 108,657.30 and 25,692.30 is: 38,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,435.78 : 108,657.30 = 25,692.30 : x
  2. Step 2: Convert to fraction form
    72,435.78/108,657.30 = 25,692.30/x
  3. Step 3: Cross multiply
    72,435.78x = 108,657.30 × 25,692.30
  4. Step 4: Simplify right side
    72,435.78x = 2,791,655,948.79
  5. Step 5: Solve for x
    x = 2,791,655,948.79/72,435.78
  6. Step 6: Final answer
    x = 38,539.74

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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.