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Finding the Fourth Proportional to 75,234, 103,824.10 and 45,020.60

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Solution

The fourth proportional to 75,234, 103,824.10 and 45,020.60 is: 62,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,234 : 103,824.10 = 45,020.60 : x
  2. Step 2: Convert to fraction form
    75,234/103,824.10 = 45,020.60/x
  3. Step 3: Cross multiply
    75,234x = 103,824.10 × 45,020.60
  4. Step 4: Simplify right side
    75,234x = 4,674,223,276.46
  5. Step 5: Solve for x
    x = 4,674,223,276.46/75,234
  6. Step 6: Final answer
    x = 62,129.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.