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Finding the Fourth Proportional to 115,280, 159,151.68 and 75,029.12

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Solution

The fourth proportional to 115,280, 159,151.68 and 75,029.12 is: 103,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,280 : 159,151.68 = 75,029.12 : x
  2. Step 2: Convert to fraction form
    115,280/159,151.68 = 75,029.12/x
  3. Step 3: Cross multiply
    115,280x = 159,151.68 × 75,029.12
  4. Step 4: Simplify right side
    115,280x = 11,941,010,496.92
  5. Step 5: Solve for x
    x = 11,941,010,496.92/115,280
  6. Step 6: Final answer
    x = 103,582.67

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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.