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Finding the Fourth Proportional to 140,005.66, 209,964.75 and 61,098.70

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Solution

The fourth proportional to 140,005.66, 209,964.75 and 61,098.70 is: 91,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,005.66 : 209,964.75 = 61,098.70 : x
  2. Step 2: Convert to fraction form
    140,005.66/209,964.75 = 61,098.70/x
  3. Step 3: Cross multiply
    140,005.66x = 209,964.75 × 61,098.70
  4. Step 4: Simplify right side
    140,005.66x = 12,828,573,270.83
  5. Step 5: Solve for x
    x = 12,828,573,270.83/140,005.66
  6. Step 6: Final answer
    x = 91,628.96

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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.