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Finding the Fourth Proportional to 138,178.94, 190,690.65 and 77,751.72

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Solution

The fourth proportional to 138,178.94, 190,690.65 and 77,751.72 is: 107,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,178.94 : 190,690.65 = 77,751.72 : x
  2. Step 2: Convert to fraction form
    138,178.94/190,690.65 = 77,751.72/x
  3. Step 3: Cross multiply
    138,178.94x = 190,690.65 × 77,751.72
  4. Step 4: Simplify right side
    138,178.94x = 14,826,526,025.42
  5. Step 5: Solve for x
    x = 14,826,526,025.42/138,178.94
  6. Step 6: Final answer
    x = 107,299.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.