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Finding the Fourth Proportional to 157,127.64, 235,663.08 and 67,221

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Solution

The fourth proportional to 157,127.64, 235,663.08 and 67,221 is: 100,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,127.64 : 235,663.08 = 67,221 : x
  2. Step 2: Convert to fraction form
    157,127.64/235,663.08 = 67,221/x
  3. Step 3: Cross multiply
    157,127.64x = 235,663.08 × 67,221
  4. Step 4: Simplify right side
    157,127.64x = 15,841,507,900.68
  5. Step 5: Solve for x
    x = 15,841,507,900.68/157,127.64
  6. Step 6: Final answer
    x = 100,819.36

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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.