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Finding the Fourth Proportional to 153,967.10, 231,027.45 and 87,458.30

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Solution

The fourth proportional to 153,967.10, 231,027.45 and 87,458.30 is: 131,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,967.10 : 231,027.45 = 87,458.30 : x
  2. Step 2: Convert to fraction form
    153,967.10/231,027.45 = 87,458.30/x
  3. Step 3: Cross multiply
    153,967.10x = 231,027.45 × 87,458.30
  4. Step 4: Simplify right side
    153,967.10x = 20,205,268,030.34
  5. Step 5: Solve for x
    x = 20,205,268,030.34/153,967.10
  6. Step 6: Final answer
    x = 131,231.07

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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.