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Finding the Fourth Proportional to 91,769.40, 137,346.90 and 64,121.40

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Solution

The fourth proportional to 91,769.40, 137,346.90 and 64,121.40 is: 95,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,769.40 : 137,346.90 = 64,121.40 : x
  2. Step 2: Convert to fraction form
    91,769.40/137,346.90 = 64,121.40/x
  3. Step 3: Cross multiply
    91,769.40x = 137,346.90 × 64,121.40
  4. Step 4: Simplify right side
    91,769.40x = 8,806,875,513.66
  5. Step 5: Solve for x
    x = 8,806,875,513.66/91,769.40
  6. Step 6: Final answer
    x = 95,967.45

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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.