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Finding the Fourth Proportional to 243,487.70, 365,266.11 and 75,021.70

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Solution

The fourth proportional to 243,487.70, 365,266.11 and 75,021.70 is: 112,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,487.70 : 365,266.11 = 75,021.70 : x
  2. Step 2: Convert to fraction form
    243,487.70/365,266.11 = 75,021.70/x
  3. Step 3: Cross multiply
    243,487.70x = 365,266.11 × 75,021.70
  4. Step 4: Simplify right side
    243,487.70x = 27,402,884,524.59
  5. Step 5: Solve for x
    x = 27,402,884,524.59/243,487.70
  6. Step 6: Final answer
    x = 112,543.20

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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.