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Finding the Fourth Proportional to 78,491.95, 117,737.93 and 77,753.84

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Solution

The fourth proportional to 78,491.95, 117,737.93 and 77,753.84 is: 116,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,491.95 : 117,737.93 = 77,753.84 : x
  2. Step 2: Convert to fraction form
    78,491.95/117,737.93 = 77,753.84/x
  3. Step 3: Cross multiply
    78,491.95x = 117,737.93 × 77,753.84
  4. Step 4: Simplify right side
    78,491.95x = 9,154,575,782.38
  5. Step 5: Solve for x
    x = 9,154,575,782.38/78,491.95
  6. Step 6: Final answer
    x = 116,630.76

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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.