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Finding the Fourth Proportional to 75,221.71, 112,694.16 and 47,136.53

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Solution

The fourth proportional to 75,221.71, 112,694.16 and 47,136.53 is: 70,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,221.71 : 112,694.16 = 47,136.53 : x
  2. Step 2: Convert to fraction form
    75,221.71/112,694.16 = 47,136.53/x
  3. Step 3: Cross multiply
    75,221.71x = 112,694.16 × 47,136.53
  4. Step 4: Simplify right side
    75,221.71x = 5,312,011,653.66
  5. Step 5: Solve for x
    x = 5,312,011,653.66/75,221.71
  6. Step 6: Final answer
    x = 70,618.07

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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.