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Finding the Fourth Proportional to 76,986.80, 115,480.20 and 52,038.80

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Solution

The fourth proportional to 76,986.80, 115,480.20 and 52,038.80 is: 78,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,986.80 : 115,480.20 = 52,038.80 : x
  2. Step 2: Convert to fraction form
    76,986.80/115,480.20 = 52,038.80/x
  3. Step 3: Cross multiply
    76,986.80x = 115,480.20 × 52,038.80
  4. Step 4: Simplify right side
    76,986.80x = 6,009,451,031.76
  5. Step 5: Solve for x
    x = 6,009,451,031.76/76,986.80
  6. Step 6: Final answer
    x = 78,058.20

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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.