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Finding the Fourth Proportional to 102,472.50, 141,413.16 and 57,760.50

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Solution

The fourth proportional to 102,472.50, 141,413.16 and 57,760.50 is: 79,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472.50 : 141,413.16 = 57,760.50 : x
  2. Step 2: Convert to fraction form
    102,472.50/141,413.16 = 57,760.50/x
  3. Step 3: Cross multiply
    102,472.50x = 141,413.16 × 57,760.50
  4. Step 4: Simplify right side
    102,472.50x = 8,168,094,828.18
  5. Step 5: Solve for x
    x = 8,168,094,828.18/102,472.50
  6. Step 6: Final answer
    x = 79,710.12

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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.