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Finding the Fourth Proportional to 78,350.16, 108,121.32 and 44,814

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Solution

The fourth proportional to 78,350.16, 108,121.32 and 44,814 is: 61,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,350.16 : 108,121.32 = 44,814 : x
  2. Step 2: Convert to fraction form
    78,350.16/108,121.32 = 44,814/x
  3. Step 3: Cross multiply
    78,350.16x = 108,121.32 × 44,814
  4. Step 4: Simplify right side
    78,350.16x = 4,845,348,834.48
  5. Step 5: Solve for x
    x = 4,845,348,834.48/78,350.16
  6. Step 6: Final answer
    x = 61,842.23

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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.