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Finding the Fourth Proportional to 77,081.96, 115,620.48 and 34,931.18

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Solution

The fourth proportional to 77,081.96, 115,620.48 and 34,931.18 is: 52,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,081.96 : 115,620.48 = 34,931.18 : x
  2. Step 2: Convert to fraction form
    77,081.96/115,620.48 = 34,931.18/x
  3. Step 3: Cross multiply
    77,081.96x = 115,620.48 × 34,931.18
  4. Step 4: Simplify right side
    77,081.96x = 4,038,759,220.46
  5. Step 5: Solve for x
    x = 4,038,759,220.46/77,081.96
  6. Step 6: Final answer
    x = 52,395.65

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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.