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Finding the Fourth Proportional to 153,123.11, 229,731.29 and 78,295.82

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Solution

The fourth proportional to 153,123.11, 229,731.29 and 78,295.82 is: 117,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,123.11 : 229,731.29 = 78,295.82 : x
  2. Step 2: Convert to fraction form
    153,123.11/229,731.29 = 78,295.82/x
  3. Step 3: Cross multiply
    153,123.11x = 229,731.29 × 78,295.82
  4. Step 4: Simplify right side
    153,123.11x = 17,987,000,500.28
  5. Step 5: Solve for x
    x = 17,987,000,500.28/153,123.11
  6. Step 6: Final answer
    x = 117,467.57

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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.