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Finding the Fourth Proportional to 137,172.42, 205,758.63 and 43,678.17

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Solution

The fourth proportional to 137,172.42, 205,758.63 and 43,678.17 is: 65,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,172.42 : 205,758.63 = 43,678.17 : x
  2. Step 2: Convert to fraction form
    137,172.42/205,758.63 = 43,678.17/x
  3. Step 3: Cross multiply
    137,172.42x = 205,758.63 × 43,678.17
  4. Step 4: Simplify right side
    137,172.42x = 8,987,160,420.11
  5. Step 5: Solve for x
    x = 8,987,160,420.11/137,172.42
  6. Step 6: Final answer
    x = 65,517.26

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1.5x scale

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.