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Finding the Fourth Proportional to 153,133.20, 229,752.40 and 68,952.40

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Solution

The fourth proportional to 153,133.20, 229,752.40 and 68,952.40 is: 103,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,133.20 : 229,752.40 = 68,952.40 : x
  2. Step 2: Convert to fraction form
    153,133.20/229,752.40 = 68,952.40/x
  3. Step 3: Cross multiply
    153,133.20x = 229,752.40 × 68,952.40
  4. Step 4: Simplify right side
    153,133.20x = 15,841,979,385.76
  5. Step 5: Solve for x
    x = 15,841,979,385.76/153,133.20
  6. Step 6: Final answer
    x = 103,452.28

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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.