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Finding the Fourth Proportional to 153,257.70, 229,587.60 and 86,495.88

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Solution

The fourth proportional to 153,257.70, 229,587.60 and 86,495.88 is: 129,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,257.70 : 229,587.60 = 86,495.88 : x
  2. Step 2: Convert to fraction form
    153,257.70/229,587.60 = 86,495.88/x
  3. Step 3: Cross multiply
    153,257.70x = 229,587.60 × 86,495.88
  4. Step 4: Simplify right side
    153,257.70x = 19,858,381,499.09
  5. Step 5: Solve for x
    x = 19,858,381,499.09/153,257.70
  6. Step 6: Final answer
    x = 129,575.10

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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.