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Finding the Fourth Proportional to 138,182.77, 206,942 and 78,838.53

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Solution

The fourth proportional to 138,182.77, 206,942 and 78,838.53 is: 118,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,182.77 : 206,942 = 78,838.53 : x
  2. Step 2: Convert to fraction form
    138,182.77/206,942 = 78,838.53/x
  3. Step 3: Cross multiply
    138,182.77x = 206,942 × 78,838.53
  4. Step 4: Simplify right side
    138,182.77x = 16,315,003,075.26
  5. Step 5: Solve for x
    x = 16,315,003,075.26/138,182.77
  6. Step 6: Final answer
    x = 118,068.29

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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.