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Finding the Fourth Proportional to 157,507.40, 236,261.10 and 86,648.60

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Solution

The fourth proportional to 157,507.40, 236,261.10 and 86,648.60 is: 129,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,507.40 : 236,261.10 = 86,648.60 : x
  2. Step 2: Convert to fraction form
    157,507.40/236,261.10 = 86,648.60/x
  3. Step 3: Cross multiply
    157,507.40x = 236,261.10 × 86,648.60
  4. Step 4: Simplify right side
    157,507.40x = 20,471,693,549.46
  5. Step 5: Solve for x
    x = 20,471,693,549.46/157,507.40
  6. Step 6: Final answer
    x = 129,972.90

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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.