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Finding the Fourth Proportional to 142,443.20, 213,664.80 and 72,459.20

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Solution

The fourth proportional to 142,443.20, 213,664.80 and 72,459.20 is: 108,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,443.20 : 213,664.80 = 72,459.20 : x
  2. Step 2: Convert to fraction form
    142,443.20/213,664.80 = 72,459.20/x
  3. Step 3: Cross multiply
    142,443.20x = 213,664.80 × 72,459.20
  4. Step 4: Simplify right side
    142,443.20x = 15,481,980,476.16
  5. Step 5: Solve for x
    x = 15,481,980,476.16/142,443.20
  6. Step 6: Final answer
    x = 108,688.80

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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.