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Finding the Fourth Proportional to 131,023.78, 180,812.73 and 71,407.78

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Solution

The fourth proportional to 131,023.78, 180,812.73 and 71,407.78 is: 98,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,023.78 : 180,812.73 = 71,407.78 : x
  2. Step 2: Convert to fraction form
    131,023.78/180,812.73 = 71,407.78/x
  3. Step 3: Cross multiply
    131,023.78x = 180,812.73 × 71,407.78
  4. Step 4: Simplify right side
    131,023.78x = 12,911,435,645.04
  5. Step 5: Solve for x
    x = 12,911,435,645.04/131,023.78
  6. Step 6: Final answer
    x = 98,542.69

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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.