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Finding the Fourth Proportional to 150,498.76, 207,697.62 and 83,430.76

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Solution

The fourth proportional to 150,498.76, 207,697.62 and 83,430.76 is: 115,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,498.76 : 207,697.62 = 83,430.76 : x
  2. Step 2: Convert to fraction form
    150,498.76/207,697.62 = 83,430.76/x
  3. Step 3: Cross multiply
    150,498.76x = 207,697.62 × 83,430.76
  4. Step 4: Simplify right side
    150,498.76x = 17,328,370,286.79
  5. Step 5: Solve for x
    x = 17,328,370,286.79/150,498.76
  6. Step 6: Final answer
    x = 115,139.62

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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.