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Finding the Fourth Proportional to 149,387.20, 224,080.80 and 70,655.20

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Solution

The fourth proportional to 149,387.20, 224,080.80 and 70,655.20 is: 105,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,387.20 : 224,080.80 = 70,655.20 : x
  2. Step 2: Convert to fraction form
    149,387.20/224,080.80 = 70,655.20/x
  3. Step 3: Cross multiply
    149,387.20x = 224,080.80 × 70,655.20
  4. Step 4: Simplify right side
    149,387.20x = 15,832,473,740.16
  5. Step 5: Solve for x
    x = 15,832,473,740.16/149,387.20
  6. Step 6: Final answer
    x = 105,982.80

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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.