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Finding the Fourth Proportional to 59,981.65, 89,919 and 30,384.25

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Solution

The fourth proportional to 59,981.65, 89,919 and 30,384.25 is: 45,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,981.65 : 89,919 = 30,384.25 : x
  2. Step 2: Convert to fraction form
    59,981.65/89,919 = 30,384.25/x
  3. Step 3: Cross multiply
    59,981.65x = 89,919 × 30,384.25
  4. Step 4: Simplify right side
    59,981.65x = 2,732,121,375.75
  5. Step 5: Solve for x
    x = 2,732,121,375.75/59,981.65
  6. Step 6: Final answer
    x = 45,549.29

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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.