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Finding the Fourth Proportional to 153,298.26, 229,978.15 and 53,431.64

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Solution

The fourth proportional to 153,298.26, 229,978.15 and 53,431.64 is: 80,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,298.26 : 229,978.15 = 53,431.64 : x
  2. Step 2: Convert to fraction form
    153,298.26/229,978.15 = 53,431.64/x
  3. Step 3: Cross multiply
    153,298.26x = 229,978.15 × 53,431.64
  4. Step 4: Simplify right side
    153,298.26x = 12,288,110,160.03
  5. Step 5: Solve for x
    x = 12,288,110,160.03/153,298.26
  6. Step 6: Final answer
    x = 80,158.18

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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.