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Finding the Fourth Proportional to 76,800.30, 115,200.45 and 57,117.30

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Solution

The fourth proportional to 76,800.30, 115,200.45 and 57,117.30 is: 85,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800.30 : 115,200.45 = 57,117.30 : x
  2. Step 2: Convert to fraction form
    76,800.30/115,200.45 = 57,117.30/x
  3. Step 3: Cross multiply
    76,800.30x = 115,200.45 × 57,117.30
  4. Step 4: Simplify right side
    76,800.30x = 6,579,938,662.79
  5. Step 5: Solve for x
    x = 6,579,938,662.79/76,800.30
  6. Step 6: Final answer
    x = 85,675.95

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1.5x scale

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.