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Finding the Fourth Proportional to 109,534.78, 151,140.90 and 61,786.90

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Solution

The fourth proportional to 109,534.78, 151,140.90 and 61,786.90 is: 85,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,534.78 : 151,140.90 = 61,786.90 : x
  2. Step 2: Convert to fraction form
    109,534.78/151,140.90 = 61,786.90/x
  3. Step 3: Cross multiply
    109,534.78x = 151,140.90 × 61,786.90
  4. Step 4: Simplify right side
    109,534.78x = 9,338,527,674.21
  5. Step 5: Solve for x
    x = 9,338,527,674.21/109,534.78
  6. Step 6: Final answer
    x = 85,256.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.