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Finding the Fourth Proportional to 105,891.60, 158,903.20 and 65,988.90

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Solution

The fourth proportional to 105,891.60, 158,903.20 and 65,988.90 is: 99,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,891.60 : 158,903.20 = 65,988.90 : x
  2. Step 2: Convert to fraction form
    105,891.60/158,903.20 = 65,988.90/x
  3. Step 3: Cross multiply
    105,891.60x = 158,903.20 × 65,988.90
  4. Step 4: Simplify right side
    105,891.60x = 10,485,847,374.48
  5. Step 5: Solve for x
    x = 10,485,847,374.48/105,891.60
  6. Step 6: Final answer
    x = 99,024.35

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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.