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Finding the Fourth Proportional to 76,859.80, 115,268.10 and 24,285.40

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Solution

The fourth proportional to 76,859.80, 115,268.10 and 24,285.40 is: 36,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,859.80 : 115,268.10 = 24,285.40 : x
  2. Step 2: Convert to fraction form
    76,859.80/115,268.10 = 24,285.40/x
  3. Step 3: Cross multiply
    76,859.80x = 115,268.10 × 24,285.40
  4. Step 4: Simplify right side
    76,859.80x = 2,799,331,915.74
  5. Step 5: Solve for x
    x = 2,799,331,915.74/76,859.80
  6. Step 6: Final answer
    x = 36,421.28

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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.