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Finding the Fourth Proportional to 145,812.80, 218,719.20 and 72,084.80

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Solution

The fourth proportional to 145,812.80, 218,719.20 and 72,084.80 is: 108,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,812.80 : 218,719.20 = 72,084.80 : x
  2. Step 2: Convert to fraction form
    145,812.80/218,719.20 = 72,084.80/x
  3. Step 3: Cross multiply
    145,812.80x = 218,719.20 × 72,084.80
  4. Step 4: Simplify right side
    145,812.80x = 15,766,329,788.16
  5. Step 5: Solve for x
    x = 15,766,329,788.16/145,812.80
  6. Step 6: Final answer
    x = 108,127.20

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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.