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Finding the Fourth Proportional to 191,909.12, 287,689.44 and 67,182.08

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Solution

The fourth proportional to 191,909.12, 287,689.44 and 67,182.08 is: 100,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,909.12 : 287,689.44 = 67,182.08 : x
  2. Step 2: Convert to fraction form
    191,909.12/287,689.44 = 67,182.08/x
  3. Step 3: Cross multiply
    191,909.12x = 287,689.44 × 67,182.08
  4. Step 4: Simplify right side
    191,909.12x = 19,327,574,973.24
  5. Step 5: Solve for x
    x = 19,327,574,973.24/191,909.12
  6. Step 6: Final answer
    x = 100,712.12

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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.