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Finding the Fourth Proportional to 140,956.80, 211,809.60 and 77,827.20

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Solution

The fourth proportional to 140,956.80, 211,809.60 and 77,827.20 is: 116,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,956.80 : 211,809.60 = 77,827.20 : x
  2. Step 2: Convert to fraction form
    140,956.80/211,809.60 = 77,827.20/x
  3. Step 3: Cross multiply
    140,956.80x = 211,809.60 × 77,827.20
  4. Step 4: Simplify right side
    140,956.80x = 16,484,548,101.12
  5. Step 5: Solve for x
    x = 16,484,548,101.12/140,956.80
  6. Step 6: Final answer
    x = 116,947.52

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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.