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Finding the Fourth Proportional to 186,982.84, 280,307.76 and 68,626.72

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Solution

The fourth proportional to 186,982.84, 280,307.76 and 68,626.72 is: 102,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,982.84 : 280,307.76 = 68,626.72 : x
  2. Step 2: Convert to fraction form
    186,982.84/280,307.76 = 68,626.72/x
  3. Step 3: Cross multiply
    186,982.84x = 280,307.76 × 68,626.72
  4. Step 4: Simplify right side
    186,982.84x = 19,236,602,159.35
  5. Step 5: Solve for x
    x = 19,236,602,159.35/186,982.84
  6. Step 6: Final answer
    x = 102,878.97

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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.