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Finding the Fourth Proportional to 157,337.64, 217,131.84 and 89,351.10

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Solution

The fourth proportional to 157,337.64, 217,131.84 and 89,351.10 is: 123,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,337.64 : 217,131.84 = 89,351.10 : x
  2. Step 2: Convert to fraction form
    157,337.64/217,131.84 = 89,351.10/x
  3. Step 3: Cross multiply
    157,337.64x = 217,131.84 × 89,351.10
  4. Step 4: Simplify right side
    157,337.64x = 19,400,968,749.02
  5. Step 5: Solve for x
    x = 19,400,968,749.02/157,337.64
  6. Step 6: Final answer
    x = 123,307.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.