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Finding the Fourth Proportional to 157,418.71, 217,066.30 and 106,342.80

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Solution

The fourth proportional to 157,418.71, 217,066.30 and 106,342.80 is: 146,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,418.71 : 217,066.30 = 106,342.80 : x
  2. Step 2: Convert to fraction form
    157,418.71/217,066.30 = 106,342.80/x
  3. Step 3: Cross multiply
    157,418.71x = 217,066.30 × 106,342.80
  4. Step 4: Simplify right side
    157,418.71x = 23,083,437,595.93
  5. Step 5: Solve for x
    x = 23,083,437,595.93/157,418.71
  6. Step 6: Final answer
    x = 146,637.20

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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.