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Finding the Fourth Proportional to 157,762.66, 217,711.38 and 86,142.64

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Solution

The fourth proportional to 157,762.66, 217,711.38 and 86,142.64 is: 118,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,762.66 : 217,711.38 = 86,142.64 : x
  2. Step 2: Convert to fraction form
    157,762.66/217,711.38 = 86,142.64/x
  3. Step 3: Cross multiply
    157,762.66x = 217,711.38 × 86,142.64
  4. Step 4: Simplify right side
    157,762.66x = 18,754,233,031.24
  5. Step 5: Solve for x
    x = 18,754,233,031.24/157,762.66
  6. Step 6: Final answer
    x = 118,876.25

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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.