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Finding the Fourth Proportional to 243,854.79, 365,817.11 and 75,389.78

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Solution

The fourth proportional to 243,854.79, 365,817.11 and 75,389.78 is: 113,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,854.79 : 365,817.11 = 75,389.78 : x
  2. Step 2: Convert to fraction form
    243,854.79/365,817.11 = 75,389.78/x
  3. Step 3: Cross multiply
    243,854.79x = 365,817.11 × 75,389.78
  4. Step 4: Simplify right side
    243,854.79x = 27,578,869,237.10
  5. Step 5: Solve for x
    x = 27,578,869,237.10/243,854.79
  6. Step 6: Final answer
    x = 113,095.46

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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.