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Finding the Fourth Proportional to 157,120.09, 216,934.20 and 147,081.76

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Solution

The fourth proportional to 157,120.09, 216,934.20 and 147,081.76 is: 203,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,120.09 : 216,934.20 = 147,081.76 : x
  2. Step 2: Convert to fraction form
    157,120.09/216,934.20 = 147,081.76/x
  3. Step 3: Cross multiply
    157,120.09x = 216,934.20 × 147,081.76
  4. Step 4: Simplify right side
    157,120.09x = 31,907,063,397.86
  5. Step 5: Solve for x
    x = 31,907,063,397.86/157,120.09
  6. Step 6: Final answer
    x = 203,074.37

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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.