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Finding the Fourth Proportional to 153,791.74, 212,232.63 and 86,723.74

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Solution

The fourth proportional to 153,791.74, 212,232.63 and 86,723.74 is: 119,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,791.74 : 212,232.63 = 86,723.74 : x
  2. Step 2: Convert to fraction form
    153,791.74/212,232.63 = 86,723.74/x
  3. Step 3: Cross multiply
    153,791.74x = 212,232.63 × 86,723.74
  4. Step 4: Simplify right side
    153,791.74x = 18,405,607,423.64
  5. Step 5: Solve for x
    x = 18,405,607,423.64/153,791.74
  6. Step 6: Final answer
    x = 119,678.78

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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.