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Finding the Fourth Proportional to 186,855.51, 280,381.69 and 81,748.29

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Solution

The fourth proportional to 186,855.51, 280,381.69 and 81,748.29 is: 122,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,855.51 : 280,381.69 = 81,748.29 : x
  2. Step 2: Convert to fraction form
    186,855.51/280,381.69 = 81,748.29/x
  3. Step 3: Cross multiply
    186,855.51x = 280,381.69 × 81,748.29
  4. Step 4: Simplify right side
    186,855.51x = 22,920,724,398.59
  5. Step 5: Solve for x
    x = 22,920,724,398.59/186,855.51
  6. Step 6: Final answer
    x = 122,665.50

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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.