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Finding the Fourth Proportional to 137,583.77, 206,341.47 and 77,638.56

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Solution

The fourth proportional to 137,583.77, 206,341.47 and 77,638.56 is: 116,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,583.77 : 206,341.47 = 77,638.56 : x
  2. Step 2: Convert to fraction form
    137,583.77/206,341.47 = 77,638.56/x
  3. Step 3: Cross multiply
    137,583.77x = 206,341.47 × 77,638.56
  4. Step 4: Simplify right side
    137,583.77x = 16,020,054,599.08
  5. Step 5: Solve for x
    x = 16,020,054,599.08/137,583.77
  6. Step 6: Final answer
    x = 116,438.55

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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.