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Finding the Fourth Proportional to 115,735.32, 173,616.86 and 40,840

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Solution

The fourth proportional to 115,735.32, 173,616.86 and 40,840 is: 61,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,735.32 : 173,616.86 = 40,840 : x
  2. Step 2: Convert to fraction form
    115,735.32/173,616.86 = 40,840/x
  3. Step 3: Cross multiply
    115,735.32x = 173,616.86 × 40,840
  4. Step 4: Simplify right side
    115,735.32x = 7,090,512,562.40
  5. Step 5: Solve for x
    x = 7,090,512,562.40/115,735.32
  6. Step 6: Final answer
    x = 61,264.90

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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.