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Finding the Fourth Proportional to 157,434, 217,252.56 and 85,812.48

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Solution

The fourth proportional to 157,434, 217,252.56 and 85,812.48 is: 118,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,434 : 217,252.56 = 85,812.48 : x
  2. Step 2: Convert to fraction form
    157,434/217,252.56 = 85,812.48/x
  3. Step 3: Cross multiply
    157,434x = 217,252.56 × 85,812.48
  4. Step 4: Simplify right side
    157,434x = 18,642,980,959.95
  5. Step 5: Solve for x
    x = 18,642,980,959.95/157,434
  6. Step 6: Final answer
    x = 118,417.76

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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.