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Finding the Fourth Proportional to 123,970.50, 185,984.91 and 40,864.50

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Solution

The fourth proportional to 123,970.50, 185,984.91 and 40,864.50 is: 61,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,970.50 : 185,984.91 = 40,864.50 : x
  2. Step 2: Convert to fraction form
    123,970.50/185,984.91 = 40,864.50/x
  3. Step 3: Cross multiply
    123,970.50x = 185,984.91 × 40,864.50
  4. Step 4: Simplify right side
    123,970.50x = 7,600,180,354.70
  5. Step 5: Solve for x
    x = 7,600,180,354.70/123,970.50
  6. Step 6: Final answer
    x = 61,306.36

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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.