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Finding the Fourth Proportional to 153,280.84, 229,854.23 and 77,332.65

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Solution

The fourth proportional to 153,280.84, 229,854.23 and 77,332.65 is: 115,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,280.84 : 229,854.23 = 77,332.65 : x
  2. Step 2: Convert to fraction form
    153,280.84/229,854.23 = 77,332.65/x
  3. Step 3: Cross multiply
    153,280.84x = 229,854.23 × 77,332.65
  4. Step 4: Simplify right side
    153,280.84x = 17,775,236,719.61
  5. Step 5: Solve for x
    x = 17,775,236,719.61/153,280.84
  6. Step 6: Final answer
    x = 115,965.16

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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.