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Finding the Fourth Proportional to 75,877.80, 113,816.70 and 40,885.80

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Solution

The fourth proportional to 75,877.80, 113,816.70 and 40,885.80 is: 61,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.80 : 113,816.70 = 40,885.80 : x
  2. Step 2: Convert to fraction form
    75,877.80/113,816.70 = 40,885.80/x
  3. Step 3: Cross multiply
    75,877.80x = 113,816.70 × 40,885.80
  4. Step 4: Simplify right side
    75,877.80x = 4,653,486,832.86
  5. Step 5: Solve for x
    x = 4,653,486,832.86/75,877.80
  6. Step 6: Final answer
    x = 61,328.70

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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.