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Finding the Fourth Proportional to 47,390.68, 71,085.66 and 19,688.68

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Solution

The fourth proportional to 47,390.68, 71,085.66 and 19,688.68 is: 29,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,390.68 : 71,085.66 = 19,688.68 : x
  2. Step 2: Convert to fraction form
    47,390.68/71,085.66 = 19,688.68/x
  3. Step 3: Cross multiply
    47,390.68x = 71,085.66 × 19,688.68
  4. Step 4: Simplify right side
    47,390.68x = 1,399,582,812.33
  5. Step 5: Solve for x
    x = 1,399,582,812.33/47,390.68
  6. Step 6: Final answer
    x = 29,532.87

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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.