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Finding the Fourth Proportional to 153,377.82, 229,755.30 and 77,429.46

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Solution

The fourth proportional to 153,377.82, 229,755.30 and 77,429.46 is: 115,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,377.82 : 229,755.30 = 77,429.46 : x
  2. Step 2: Convert to fraction form
    153,377.82/229,755.30 = 77,429.46/x
  3. Step 3: Cross multiply
    153,377.82x = 229,755.30 × 77,429.46
  4. Step 4: Simplify right side
    153,377.82x = 17,789,828,811.14
  5. Step 5: Solve for x
    x = 17,789,828,811.14/153,377.82
  6. Step 6: Final answer
    x = 115,986.97

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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.