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Finding the Fourth Proportional to 145,987.92, 218,981.88 and 57,283.20

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Solution

The fourth proportional to 145,987.92, 218,981.88 and 57,283.20 is: 85,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,987.92 : 218,981.88 = 57,283.20 : x
  2. Step 2: Convert to fraction form
    145,987.92/218,981.88 = 57,283.20/x
  3. Step 3: Cross multiply
    145,987.92x = 218,981.88 × 57,283.20
  4. Step 4: Simplify right side
    145,987.92x = 12,543,982,828.42
  5. Step 5: Solve for x
    x = 12,543,982,828.42/145,987.92
  6. Step 6: Final answer
    x = 85,924.80

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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.