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Finding the Fourth Proportional to 191,814.10, 287,721.15 and 122,002.90

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Solution

The fourth proportional to 191,814.10, 287,721.15 and 122,002.90 is: 183,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,814.10 : 287,721.15 = 122,002.90 : x
  2. Step 2: Convert to fraction form
    191,814.10/287,721.15 = 122,002.90/x
  3. Step 3: Cross multiply
    191,814.10x = 287,721.15 × 122,002.90
  4. Step 4: Simplify right side
    191,814.10x = 35,102,814,691.34
  5. Step 5: Solve for x
    x = 35,102,814,691.34/191,814.10
  6. Step 6: Final answer
    x = 183,004.35

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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.