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Finding the Fourth Proportional to 157,729.70, 236,594.55 and 82,820.90

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Solution

The fourth proportional to 157,729.70, 236,594.55 and 82,820.90 is: 124,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,729.70 : 236,594.55 = 82,820.90 : x
  2. Step 2: Convert to fraction form
    157,729.70/236,594.55 = 82,820.90/x
  3. Step 3: Cross multiply
    157,729.70x = 236,594.55 × 82,820.90
  4. Step 4: Simplify right side
    157,729.70x = 19,594,973,566.10
  5. Step 5: Solve for x
    x = 19,594,973,566.10/157,729.70
  6. Step 6: Final answer
    x = 124,231.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.