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Finding the Fourth Proportional to 84,700.50, 127,053.38 and 31,405.74

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Solution

The fourth proportional to 84,700.50, 127,053.38 and 31,405.74 is: 47,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,700.50 : 127,053.38 = 31,405.74 : x
  2. Step 2: Convert to fraction form
    84,700.50/127,053.38 = 31,405.74/x
  3. Step 3: Cross multiply
    84,700.50x = 127,053.38 × 31,405.74
  4. Step 4: Simplify right side
    84,700.50x = 3,990,205,496.92
  5. Step 5: Solve for x
    x = 3,990,205,496.92/84,700.50
  6. Step 6: Final answer
    x = 47,109.59

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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.