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Finding the Fourth Proportional to 136,802.10, 205,087.95 and 71,138.10

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Solution

The fourth proportional to 136,802.10, 205,087.95 and 71,138.10 is: 106,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,802.10 : 205,087.95 = 71,138.10 : x
  2. Step 2: Convert to fraction form
    136,802.10/205,087.95 = 71,138.10/x
  3. Step 3: Cross multiply
    136,802.10x = 205,087.95 × 71,138.10
  4. Step 4: Simplify right side
    136,802.10x = 14,589,567,095.90
  5. Step 5: Solve for x
    x = 14,589,567,095.90/136,802.10
  6. Step 6: Final answer
    x = 106,647.25

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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.