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Finding the Fourth Proportional to 123,376.80, 185,108.40 and 53,306.40

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Solution

The fourth proportional to 123,376.80, 185,108.40 and 53,306.40 is: 79,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,376.80 : 185,108.40 = 53,306.40 : x
  2. Step 2: Convert to fraction form
    123,376.80/185,108.40 = 53,306.40/x
  3. Step 3: Cross multiply
    123,376.80x = 185,108.40 × 53,306.40
  4. Step 4: Simplify right side
    123,376.80x = 9,867,462,413.76
  5. Step 5: Solve for x
    x = 9,867,462,413.76/123,376.80
  6. Step 6: Final answer
    x = 79,978.27

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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.