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Finding the Fourth Proportional to 105,529.80, 158,294.70 and 92,407.80

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Solution

The fourth proportional to 105,529.80, 158,294.70 and 92,407.80 is: 138,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,529.80 : 158,294.70 = 92,407.80 : x
  2. Step 2: Convert to fraction form
    105,529.80/158,294.70 = 92,407.80/x
  3. Step 3: Cross multiply
    105,529.80x = 158,294.70 × 92,407.80
  4. Step 4: Simplify right side
    105,529.80x = 14,627,664,978.66
  5. Step 5: Solve for x
    x = 14,627,664,978.66/105,529.80
  6. Step 6: Final answer
    x = 138,611.70

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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.