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Finding the Fourth Proportional to 102,182.70, 153,117.90 and 42,985.92

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Solution

The fourth proportional to 102,182.70, 153,117.90 and 42,985.92 is: 64,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,182.70 : 153,117.90 = 42,985.92 : x
  2. Step 2: Convert to fraction form
    102,182.70/153,117.90 = 42,985.92/x
  3. Step 3: Cross multiply
    102,182.70x = 153,117.90 × 42,985.92
  4. Step 4: Simplify right side
    102,182.70x = 6,581,913,799.97
  5. Step 5: Solve for x
    x = 6,581,913,799.97/102,182.70
  6. Step 6: Final answer
    x = 64,413.19

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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.