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Finding the Fourth Proportional to 140,382.50, 210,513.80 and 81,258.98

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Solution

The fourth proportional to 140,382.50, 210,513.80 and 81,258.98 is: 121,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,382.50 : 210,513.80 = 81,258.98 : x
  2. Step 2: Convert to fraction form
    140,382.50/210,513.80 = 81,258.98/x
  3. Step 3: Cross multiply
    140,382.50x = 210,513.80 × 81,258.98
  4. Step 4: Simplify right side
    140,382.50x = 17,106,136,663.92
  5. Step 5: Solve for x
    x = 17,106,136,663.92/140,382.50
  6. Step 6: Final answer
    x = 121,853.77

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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.