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Finding the Fourth Proportional to 153,279.84, 229,852.73 and 77,331.65

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Solution

The fourth proportional to 153,279.84, 229,852.73 and 77,331.65 is: 115,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,279.84 : 229,852.73 = 77,331.65 : x
  2. Step 2: Convert to fraction form
    153,279.84/229,852.73 = 77,331.65/x
  3. Step 3: Cross multiply
    153,279.84x = 229,852.73 × 77,331.65
  4. Step 4: Simplify right side
    153,279.84x = 17,774,890,867.90
  5. Step 5: Solve for x
    x = 17,774,890,867.90/153,279.84
  6. Step 6: Final answer
    x = 115,963.66

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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.