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Finding the Fourth Proportional to 157,820.35, 217,803.20 and 89,837.35

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Solution

The fourth proportional to 157,820.35, 217,803.20 and 89,837.35 is: 123,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,820.35 : 217,803.20 = 89,837.35 : x
  2. Step 2: Convert to fraction form
    157,820.35/217,803.20 = 89,837.35/x
  3. Step 3: Cross multiply
    157,820.35x = 217,803.20 × 89,837.35
  4. Step 4: Simplify right side
    157,820.35x = 19,566,862,309.52
  5. Step 5: Solve for x
    x = 19,566,862,309.52/157,820.35
  6. Step 6: Final answer
    x = 123,981.88

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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.