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Finding the Fourth Proportional to 141,073.79, 194,687.45 and 77,413.86

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Solution

The fourth proportional to 141,073.79, 194,687.45 and 77,413.86 is: 106,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,073.79 : 194,687.45 = 77,413.86 : x
  2. Step 2: Convert to fraction form
    141,073.79/194,687.45 = 77,413.86/x
  3. Step 3: Cross multiply
    141,073.79x = 194,687.45 × 77,413.86
  4. Step 4: Simplify right side
    141,073.79x = 15,071,506,610.99
  5. Step 5: Solve for x
    x = 15,071,506,610.99/141,073.79
  6. Step 6: Final answer
    x = 106,834.21

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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.