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Finding the Fourth Proportional to 96,153.24, 144,034.02 and 78,447

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Solution

The fourth proportional to 96,153.24, 144,034.02 and 78,447 is: 117,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,153.24 : 144,034.02 = 78,447 : x
  2. Step 2: Convert to fraction form
    96,153.24/144,034.02 = 78,447/x
  3. Step 3: Cross multiply
    96,153.24x = 144,034.02 × 78,447
  4. Step 4: Simplify right side
    96,153.24x = 11,299,036,766.94
  5. Step 5: Solve for x
    x = 11,299,036,766.94/96,153.24
  6. Step 6: Final answer
    x = 117,510.72

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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.