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Finding the Fourth Proportional to 78,816.75, 118,288.16 and 41,398.88

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Solution

The fourth proportional to 78,816.75, 118,288.16 and 41,398.88 is: 62,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,816.75 : 118,288.16 = 41,398.88 : x
  2. Step 2: Convert to fraction form
    78,816.75/118,288.16 = 41,398.88/x
  3. Step 3: Cross multiply
    78,816.75x = 118,288.16 × 41,398.88
  4. Step 4: Simplify right side
    78,816.75x = 4,896,997,341.26
  5. Step 5: Solve for x
    x = 4,896,997,341.26/78,816.75
  6. Step 6: Final answer
    x = 62,131.43

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1.5x scale

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.