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Finding the Fourth Proportional to 153,699.38, 212,104.73 and 85,716.43

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Solution

The fourth proportional to 153,699.38, 212,104.73 and 85,716.43 is: 118,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,699.38 : 212,104.73 = 85,716.43 : x
  2. Step 2: Convert to fraction form
    153,699.38/212,104.73 = 85,716.43/x
  3. Step 3: Cross multiply
    153,699.38x = 212,104.73 × 85,716.43
  4. Step 4: Simplify right side
    153,699.38x = 18,180,859,925.74
  5. Step 5: Solve for x
    x = 18,180,859,925.74/153,699.38
  6. Step 6: Final answer
    x = 118,288.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.