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Finding the Fourth Proportional to 207,231.60, 310,693.80 and 140,505.20

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Solution

The fourth proportional to 207,231.60, 310,693.80 and 140,505.20 is: 210,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,231.60 : 310,693.80 = 140,505.20 : x
  2. Step 2: Convert to fraction form
    207,231.60/310,693.80 = 140,505.20/x
  3. Step 3: Cross multiply
    207,231.60x = 310,693.80 × 140,505.20
  4. Step 4: Simplify right side
    207,231.60x = 43,654,094,507.76
  5. Step 5: Solve for x
    x = 43,654,094,507.76/207,231.60
  6. Step 6: Final answer
    x = 210,653.66

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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.