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Finding the Fourth Proportional to 105,503.09, 158,254.65 and 31,631.09

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Solution

The fourth proportional to 105,503.09, 158,254.65 and 31,631.09 is: 47,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,503.09 : 158,254.65 = 31,631.09 : x
  2. Step 2: Convert to fraction form
    105,503.09/158,254.65 = 31,631.09/x
  3. Step 3: Cross multiply
    105,503.09x = 158,254.65 × 31,631.09
  4. Step 4: Simplify right side
    105,503.09x = 5,005,766,285.80
  5. Step 5: Solve for x
    x = 5,005,766,285.80/105,503.09
  6. Step 6: Final answer
    x = 47,446.63

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1.5x scale

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.