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Finding the Fourth Proportional to 91,342.88, 137,138.57 and 51,389.98

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Solution

The fourth proportional to 91,342.88, 137,138.57 and 51,389.98 is: 77,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,342.88 : 137,138.57 = 51,389.98 : x
  2. Step 2: Convert to fraction form
    91,342.88/137,138.57 = 51,389.98/x
  3. Step 3: Cross multiply
    91,342.88x = 137,138.57 × 51,389.98
  4. Step 4: Simplify right side
    91,342.88x = 7,047,548,369.53
  5. Step 5: Solve for x
    x = 7,047,548,369.53/91,342.88
  6. Step 6: Final answer
    x = 77,154.87

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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.