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Finding the Fourth Proportional to 138,814.60, 208,170.70 and 45,323.40

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Solution

The fourth proportional to 138,814.60, 208,170.70 and 45,323.40 is: 67,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,814.60 : 208,170.70 = 45,323.40 : x
  2. Step 2: Convert to fraction form
    138,814.60/208,170.70 = 45,323.40/x
  3. Step 3: Cross multiply
    138,814.60x = 208,170.70 × 45,323.40
  4. Step 4: Simplify right side
    138,814.60x = 9,435,003,904.38
  5. Step 5: Solve for x
    x = 9,435,003,904.38/138,814.60
  6. Step 6: Final answer
    x = 67,968.38

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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.