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Finding the Fourth Proportional to 208,590.80, 312,111.12 and 124,396.76

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Solution

The fourth proportional to 208,590.80, 312,111.12 and 124,396.76 is: 186,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590.80 : 312,111.12 = 124,396.76 : x
  2. Step 2: Convert to fraction form
    208,590.80/312,111.12 = 124,396.76/x
  3. Step 3: Cross multiply
    208,590.80x = 312,111.12 × 124,396.76
  4. Step 4: Simplify right side
    208,590.80x = 38,825,613,334.74
  5. Step 5: Solve for x
    x = 38,825,613,334.74/208,590.80
  6. Step 6: Final answer
    x = 186,132.92

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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.