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Finding the Fourth Proportional to 75,661.68, 113,413.68 and 42,332.88

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Solution

The fourth proportional to 75,661.68, 113,413.68 and 42,332.88 is: 63,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,661.68 : 113,413.68 = 42,332.88 : x
  2. Step 2: Convert to fraction form
    75,661.68/113,413.68 = 42,332.88/x
  3. Step 3: Cross multiply
    75,661.68x = 113,413.68 × 42,332.88
  4. Step 4: Simplify right side
    75,661.68x = 4,801,127,705.80
  5. Step 5: Solve for x
    x = 4,801,127,705.80/75,661.68
  6. Step 6: Final answer
    x = 63,455.21

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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.