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Finding the Fourth Proportional to 137,830.17, 206,620.41 and 95,730.13

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Solution

The fourth proportional to 137,830.17, 206,620.41 and 95,730.13 is: 143,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,830.17 : 206,620.41 = 95,730.13 : x
  2. Step 2: Convert to fraction form
    137,830.17/206,620.41 = 95,730.13/x
  3. Step 3: Cross multiply
    137,830.17x = 206,620.41 × 95,730.13
  4. Step 4: Simplify right side
    137,830.17x = 19,779,798,709.95
  5. Step 5: Solve for x
    x = 19,779,798,709.95/137,830.17
  6. Step 6: Final answer
    x = 143,508.48

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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.