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Finding the Fourth Proportional to 205,430.50, 283,330.96 and 124,856.50

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Solution

The fourth proportional to 205,430.50, 283,330.96 and 124,856.50 is: 172,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,430.50 : 283,330.96 = 124,856.50 : x
  2. Step 2: Convert to fraction form
    205,430.50/283,330.96 = 124,856.50/x
  3. Step 3: Cross multiply
    205,430.50x = 283,330.96 × 124,856.50
  4. Step 4: Simplify right side
    205,430.50x = 35,375,712,007.24
  5. Step 5: Solve for x
    x = 35,375,712,007.24/205,430.50
  6. Step 6: Final answer
    x = 172,202.82

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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.