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Finding the Fourth Proportional to 191,889.12, 287,659.44 and 67,162.08

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Solution

The fourth proportional to 191,889.12, 287,659.44 and 67,162.08 is: 100,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,889.12 : 287,659.44 = 67,162.08 : x
  2. Step 2: Convert to fraction form
    191,889.12/287,659.44 = 67,162.08/x
  3. Step 3: Cross multiply
    191,889.12x = 287,659.44 × 67,162.08
  4. Step 4: Simplify right side
    191,889.12x = 19,319,806,322.04
  5. Step 5: Solve for x
    x = 19,319,806,322.04/191,889.12
  6. Step 6: Final answer
    x = 100,682.14

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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.