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Finding the Fourth Proportional to 191,857.80, 287,622.61 and 73,614

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Solution

The fourth proportional to 191,857.80, 287,622.61 and 73,614 is: 110,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,857.80 : 287,622.61 = 73,614 : x
  2. Step 2: Convert to fraction form
    191,857.80/287,622.61 = 73,614/x
  3. Step 3: Cross multiply
    191,857.80x = 287,622.61 × 73,614
  4. Step 4: Simplify right side
    191,857.80x = 21,173,050,812.54
  5. Step 5: Solve for x
    x = 21,173,050,812.54/191,857.80
  6. Step 6: Final answer
    x = 110,358.04

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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.