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Finding the Fourth Proportional to 81,053.91, 121,586.70 and 31,134

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Solution

The fourth proportional to 81,053.91, 121,586.70 and 31,134 is: 46,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,053.91 : 121,586.70 = 31,134 : x
  2. Step 2: Convert to fraction form
    81,053.91/121,586.70 = 31,134/x
  3. Step 3: Cross multiply
    81,053.91x = 121,586.70 × 31,134
  4. Step 4: Simplify right side
    81,053.91x = 3,785,480,317.80
  5. Step 5: Solve for x
    x = 3,785,480,317.80/81,053.91
  6. Step 6: Final answer
    x = 46,703.24

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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.