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Finding the Fourth Proportional to 115,541.64, 173,300.49 and 78,340.68

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Solution

The fourth proportional to 115,541.64, 173,300.49 and 78,340.68 is: 117,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,541.64 : 173,300.49 = 78,340.68 : x
  2. Step 2: Convert to fraction form
    115,541.64/173,300.49 = 78,340.68/x
  3. Step 3: Cross multiply
    115,541.64x = 173,300.49 × 78,340.68
  4. Step 4: Simplify right side
    115,541.64x = 13,576,478,230.93
  5. Step 5: Solve for x
    x = 13,576,478,230.93/115,541.64
  6. Step 6: Final answer
    x = 117,502.90

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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.