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Finding the Fourth Proportional to 100,610.47, 138,780.70 and 59,746.83

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Solution

The fourth proportional to 100,610.47, 138,780.70 and 59,746.83 is: 82,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,610.47 : 138,780.70 = 59,746.83 : x
  2. Step 2: Convert to fraction form
    100,610.47/138,780.70 = 59,746.83/x
  3. Step 3: Cross multiply
    100,610.47x = 138,780.70 × 59,746.83
  4. Step 4: Simplify right side
    100,610.47x = 8,291,706,890.18
  5. Step 5: Solve for x
    x = 8,291,706,890.18/100,610.47
  6. Step 6: Final answer
    x = 82,413.96

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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.