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Finding the Fourth Proportional to 75,306.16, 112,978.23 and 53,162.79

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Solution

The fourth proportional to 75,306.16, 112,978.23 and 53,162.79 is: 79,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,306.16 : 112,978.23 = 53,162.79 : x
  2. Step 2: Convert to fraction form
    75,306.16/112,978.23 = 53,162.79/x
  3. Step 3: Cross multiply
    75,306.16x = 112,978.23 × 53,162.79
  4. Step 4: Simplify right side
    75,306.16x = 6,006,237,916.06
  5. Step 5: Solve for x
    x = 6,006,237,916.06/75,306.16
  6. Step 6: Final answer
    x = 79,757.59

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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.