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Finding the Fourth Proportional to 138,971.51, 208,455.05 and 44,200.32

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Solution

The fourth proportional to 138,971.51, 208,455.05 and 44,200.32 is: 66,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,971.51 : 208,455.05 = 44,200.32 : x
  2. Step 2: Convert to fraction form
    138,971.51/208,455.05 = 44,200.32/x
  3. Step 3: Cross multiply
    138,971.51x = 208,455.05 × 44,200.32
  4. Step 4: Simplify right side
    138,971.51x = 9,213,779,694.61
  5. Step 5: Solve for x
    x = 9,213,779,694.61/138,971.51
  6. Step 6: Final answer
    x = 66,299.78

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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.