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Finding the Fourth Proportional to 72,047.80, 108,135.70 and 42,428.60

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Solution

The fourth proportional to 72,047.80, 108,135.70 and 42,428.60 is: 63,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,047.80 : 108,135.70 = 42,428.60 : x
  2. Step 2: Convert to fraction form
    72,047.80/108,135.70 = 42,428.60/x
  3. Step 3: Cross multiply
    72,047.80x = 108,135.70 × 42,428.60
  4. Step 4: Simplify right side
    72,047.80x = 4,588,046,361.02
  5. Step 5: Solve for x
    x = 4,588,046,361.02/72,047.80
  6. Step 6: Final answer
    x = 63,680.59

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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.