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Finding the Fourth Proportional to 153,310.16, 229,691.64 and 83,144.72

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Solution

The fourth proportional to 153,310.16, 229,691.64 and 83,144.72 is: 124,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,310.16 : 229,691.64 = 83,144.72 : x
  2. Step 2: Convert to fraction form
    153,310.16/229,691.64 = 83,144.72/x
  3. Step 3: Cross multiply
    153,310.16x = 229,691.64 × 83,144.72
  4. Step 4: Simplify right side
    153,310.16x = 19,097,647,094.14
  5. Step 5: Solve for x
    x = 19,097,647,094.14/153,310.16
  6. Step 6: Final answer
    x = 124,568.70

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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.