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Finding the Fourth Proportional to 102,146.74, 153,221.22 and 31,080.92

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Solution

The fourth proportional to 102,146.74, 153,221.22 and 31,080.92 is: 46,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,146.74 : 153,221.22 = 31,080.92 : x
  2. Step 2: Convert to fraction form
    102,146.74/153,221.22 = 31,080.92/x
  3. Step 3: Cross multiply
    102,146.74x = 153,221.22 × 31,080.92
  4. Step 4: Simplify right side
    102,146.74x = 4,762,255,715.02
  5. Step 5: Solve for x
    x = 4,762,255,715.02/102,146.74
  6. Step 6: Final answer
    x = 46,621.71

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1.5x scale

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.