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Finding the Fourth Proportional to 75,807.90, 113,821.20 and 57,218.40

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Solution

The fourth proportional to 75,807.90, 113,821.20 and 57,218.40 is: 85,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,807.90 : 113,821.20 = 57,218.40 : x
  2. Step 2: Convert to fraction form
    75,807.90/113,821.20 = 57,218.40/x
  3. Step 3: Cross multiply
    75,807.90x = 113,821.20 × 57,218.40
  4. Step 4: Simplify right side
    75,807.90x = 6,512,666,950.08
  5. Step 5: Solve for x
    x = 6,512,666,950.08/75,807.90
  6. Step 6: Final answer
    x = 85,910.14

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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.