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Finding the Fourth Proportional to 71,143.61, 106,715.37 and 21,258.71

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Solution

The fourth proportional to 71,143.61, 106,715.37 and 21,258.71 is: 31,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.61 : 106,715.37 = 21,258.71 : x
  2. Step 2: Convert to fraction form
    71,143.61/106,715.37 = 21,258.71/x
  3. Step 3: Cross multiply
    71,143.61x = 106,715.37 × 21,258.71
  4. Step 4: Simplify right side
    71,143.61x = 2,268,630,569.80
  5. Step 5: Solve for x
    x = 2,268,630,569.80/71,143.61
  6. Step 6: Final answer
    x = 31,888.04

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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.