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Finding the Fourth Proportional to 153,913.77, 231,012.57 and 78,065.54

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Solution

The fourth proportional to 153,913.77, 231,012.57 and 78,065.54 is: 117,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,913.77 : 231,012.57 = 78,065.54 : x
  2. Step 2: Convert to fraction form
    153,913.77/231,012.57 = 78,065.54/x
  3. Step 3: Cross multiply
    153,913.77x = 231,012.57 × 78,065.54
  4. Step 4: Simplify right side
    153,913.77x = 18,034,119,868.78
  5. Step 5: Solve for x
    x = 18,034,119,868.78/153,913.77
  6. Step 6: Final answer
    x = 117,170.28

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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.