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Finding the Fourth Proportional to 91,778.84, 137,718.40 and 35,621.16

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Solution

The fourth proportional to 91,778.84, 137,718.40 and 35,621.16 is: 53,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,778.84 : 137,718.40 = 35,621.16 : x
  2. Step 2: Convert to fraction form
    91,778.84/137,718.40 = 35,621.16/x
  3. Step 3: Cross multiply
    91,778.84x = 137,718.40 × 35,621.16
  4. Step 4: Simplify right side
    91,778.84x = 4,905,689,161.34
  5. Step 5: Solve for x
    x = 4,905,689,161.34/91,778.84
  6. Step 6: Final answer
    x = 53,451.20

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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.