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Finding the Fourth Proportional to 100,986.40, 151,312.92 and 61,423.84

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Solution

The fourth proportional to 100,986.40, 151,312.92 and 61,423.84 is: 92,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,986.40 : 151,312.92 = 61,423.84 : x
  2. Step 2: Convert to fraction form
    100,986.40/151,312.92 = 61,423.84/x
  3. Step 3: Cross multiply
    100,986.40x = 151,312.92 × 61,423.84
  4. Step 4: Simplify right side
    100,986.40x = 9,294,220,588.01
  5. Step 5: Solve for x
    x = 9,294,220,588.01/100,986.40
  6. Step 6: Final answer
    x = 92,034.38

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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.