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Finding the Fourth Proportional to 76,922.40, 115,259.40 and 43,543.20

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Solution

The fourth proportional to 76,922.40, 115,259.40 and 43,543.20 is: 65,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,922.40 : 115,259.40 = 43,543.20 : x
  2. Step 2: Convert to fraction form
    76,922.40/115,259.40 = 43,543.20/x
  3. Step 3: Cross multiply
    76,922.40x = 115,259.40 × 43,543.20
  4. Step 4: Simplify right side
    76,922.40x = 5,018,763,106.08
  5. Step 5: Solve for x
    x = 5,018,763,106.08/76,922.40
  6. Step 6: Final answer
    x = 65,244.49

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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.