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Finding the Fourth Proportional to 208,590.13, 312,781.67 and 66,416.88

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Solution

The fourth proportional to 208,590.13, 312,781.67 and 66,416.88 is: 99,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590.13 : 312,781.67 = 66,416.88 : x
  2. Step 2: Convert to fraction form
    208,590.13/312,781.67 = 66,416.88/x
  3. Step 3: Cross multiply
    208,590.13x = 312,781.67 × 66,416.88
  4. Step 4: Simplify right side
    208,590.13x = 20,773,982,642.59
  5. Step 5: Solve for x
    x = 20,773,982,642.59/208,590.13
  6. Step 6: Final answer
    x = 99,592.36

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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.