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Finding the Fourth Proportional to 78,243.84, 117,360.64 and 22,835.20

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Solution

The fourth proportional to 78,243.84, 117,360.64 and 22,835.20 is: 34,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,243.84 : 117,360.64 = 22,835.20 : x
  2. Step 2: Convert to fraction form
    78,243.84/117,360.64 = 22,835.20/x
  3. Step 3: Cross multiply
    78,243.84x = 117,360.64 × 22,835.20
  4. Step 4: Simplify right side
    78,243.84x = 2,679,953,686.53
  5. Step 5: Solve for x
    x = 2,679,953,686.53/78,243.84
  6. Step 6: Final answer
    x = 34,251.31

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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.