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Finding the Fourth Proportional to 138,969.03, 208,402.46 and 47,758.53

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Solution

The fourth proportional to 138,969.03, 208,402.46 and 47,758.53 is: 71,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,969.03 : 208,402.46 = 47,758.53 : x
  2. Step 2: Convert to fraction form
    138,969.03/208,402.46 = 47,758.53/x
  3. Step 3: Cross multiply
    138,969.03x = 208,402.46 × 47,758.53
  4. Step 4: Simplify right side
    138,969.03x = 9,952,994,899.19
  5. Step 5: Solve for x
    x = 9,952,994,899.19/138,969.03
  6. Step 6: Final answer
    x = 71,620.24

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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.