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Finding the Fourth Proportional to 75,672.14, 113,492.70 and 28,278.48

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Solution

The fourth proportional to 75,672.14, 113,492.70 and 28,278.48 is: 42,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,672.14 : 113,492.70 = 28,278.48 : x
  2. Step 2: Convert to fraction form
    75,672.14/113,492.70 = 28,278.48/x
  3. Step 3: Cross multiply
    75,672.14x = 113,492.70 × 28,278.48
  4. Step 4: Simplify right side
    75,672.14x = 3,209,401,047.10
  5. Step 5: Solve for x
    x = 3,209,401,047.10/75,672.14
  6. Step 6: Final answer
    x = 42,411.92

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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.