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Finding the Fourth Proportional to 76,913.40, 115,114.10 and 55,793.40

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Solution

The fourth proportional to 76,913.40, 115,114.10 and 55,793.40 is: 83,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,913.40 : 115,114.10 = 55,793.40 : x
  2. Step 2: Convert to fraction form
    76,913.40/115,114.10 = 55,793.40/x
  3. Step 3: Cross multiply
    76,913.40x = 115,114.10 × 55,793.40
  4. Step 4: Simplify right side
    76,913.40x = 6,422,607,026.94
  5. Step 5: Solve for x
    x = 6,422,607,026.94/76,913.40
  6. Step 6: Final answer
    x = 83,504.40

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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.