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Finding the Fourth Proportional to 153,280.34, 229,853.48 and 77,332.15

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Solution

The fourth proportional to 153,280.34, 229,853.48 and 77,332.15 is: 115,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,280.34 : 229,853.48 = 77,332.15 : x
  2. Step 2: Convert to fraction form
    153,280.34/229,853.48 = 77,332.15/x
  3. Step 3: Cross multiply
    153,280.34x = 229,853.48 × 77,332.15
  4. Step 4: Simplify right side
    153,280.34x = 17,775,063,793.38
  5. Step 5: Solve for x
    x = 17,775,063,793.38/153,280.34
  6. Step 6: Final answer
    x = 115,964.41

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1.5x scale

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.