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Finding the Fourth Proportional to 76,780.40, 115,267.80 and 71,547.80

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Solution

The fourth proportional to 76,780.40, 115,267.80 and 71,547.80 is: 107,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,780.40 : 115,267.80 = 71,547.80 : x
  2. Step 2: Convert to fraction form
    76,780.40/115,267.80 = 71,547.80/x
  3. Step 3: Cross multiply
    76,780.40x = 115,267.80 × 71,547.80
  4. Step 4: Simplify right side
    76,780.40x = 8,247,157,500.84
  5. Step 5: Solve for x
    x = 8,247,157,500.84/76,780.40
  6. Step 6: Final answer
    x = 107,412.28

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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.