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Finding the Fourth Proportional to 77,280.84, 115,965.12 and 32,902.98

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Solution

The fourth proportional to 77,280.84, 115,965.12 and 32,902.98 is: 49,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,280.84 : 115,965.12 = 32,902.98 : x
  2. Step 2: Convert to fraction form
    77,280.84/115,965.12 = 32,902.98/x
  3. Step 3: Cross multiply
    77,280.84x = 115,965.12 × 32,902.98
  4. Step 4: Simplify right side
    77,280.84x = 3,815,598,024.06
  5. Step 5: Solve for x
    x = 3,815,598,024.06/77,280.84
  6. Step 6: Final answer
    x = 49,373.14

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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.