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Finding the Fourth Proportional to 91,125.86, 136,689.70 and 31,962.96

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Solution

The fourth proportional to 91,125.86, 136,689.70 and 31,962.96 is: 47,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,125.86 : 136,689.70 = 31,962.96 : x
  2. Step 2: Convert to fraction form
    91,125.86/136,689.70 = 31,962.96/x
  3. Step 3: Cross multiply
    91,125.86x = 136,689.70 × 31,962.96
  4. Step 4: Simplify right side
    91,125.86x = 4,369,007,413.51
  5. Step 5: Solve for x
    x = 4,369,007,413.51/91,125.86
  6. Step 6: Final answer
    x = 47,944.76

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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.