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Finding the Fourth Proportional to 72,985.81, 100,712.49 and 42,765.13

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Solution

The fourth proportional to 72,985.81, 100,712.49 and 42,765.13 is: 59,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,985.81 : 100,712.49 = 42,765.13 : x
  2. Step 2: Convert to fraction form
    72,985.81/100,712.49 = 42,765.13/x
  3. Step 3: Cross multiply
    72,985.81x = 100,712.49 × 42,765.13
  4. Step 4: Simplify right side
    72,985.81x = 4,306,982,727.47
  5. Step 5: Solve for x
    x = 4,306,982,727.47/72,985.81
  6. Step 6: Final answer
    x = 59,011.23

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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.