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Finding the Fourth Proportional to 71,298.60, 106,947.63 and 17,990.70

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Solution

The fourth proportional to 71,298.60, 106,947.63 and 17,990.70 is: 26,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298.60 : 106,947.63 = 17,990.70 : x
  2. Step 2: Convert to fraction form
    71,298.60/106,947.63 = 17,990.70/x
  3. Step 3: Cross multiply
    71,298.60x = 106,947.63 × 17,990.70
  4. Step 4: Simplify right side
    71,298.60x = 1,924,062,727.04
  5. Step 5: Solve for x
    x = 1,924,062,727.04/71,298.60
  6. Step 6: Final answer
    x = 26,985.98

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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.