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Finding the Fourth Proportional to 157,729.98, 217,686.47 and 89,763.49

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Solution

The fourth proportional to 157,729.98, 217,686.47 and 89,763.49 is: 123,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,729.98 : 217,686.47 = 89,763.49 : x
  2. Step 2: Convert to fraction form
    157,729.98/217,686.47 = 89,763.49/x
  3. Step 3: Cross multiply
    157,729.98x = 217,686.47 × 89,763.49
  4. Step 4: Simplify right side
    157,729.98x = 19,540,296,184.55
  5. Step 5: Solve for x
    x = 19,540,296,184.55/157,729.98
  6. Step 6: Final answer
    x = 123,884.48

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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.