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Finding the Fourth Proportional to 157,423.62, 217,073.10 and 106,347.66

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Solution

The fourth proportional to 157,423.62, 217,073.10 and 106,347.66 is: 146,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,423.62 : 217,073.10 = 106,347.66 : x
  2. Step 2: Convert to fraction form
    157,423.62/217,073.10 = 106,347.66/x
  3. Step 3: Cross multiply
    157,423.62x = 217,073.10 × 106,347.66
  4. Step 4: Simplify right side
    157,423.62x = 23,085,216,233.95
  5. Step 5: Solve for x
    x = 23,085,216,233.95/157,423.62
  6. Step 6: Final answer
    x = 146,643.92

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1.5x scale

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.