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Finding the Fourth Proportional to 75,038.40, 112,492.80 and 67,165.20

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Solution

The fourth proportional to 75,038.40, 112,492.80 and 67,165.20 is: 100,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,038.40 : 112,492.80 = 67,165.20 : x
  2. Step 2: Convert to fraction form
    75,038.40/112,492.80 = 67,165.20/x
  3. Step 3: Cross multiply
    75,038.40x = 112,492.80 × 67,165.20
  4. Step 4: Simplify right side
    75,038.40x = 7,555,601,410.56
  5. Step 5: Solve for x
    x = 7,555,601,410.56/75,038.40
  6. Step 6: Final answer
    x = 100,689.80

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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.