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Finding the Fourth Proportional to 78,461.66, 117,680.95 and 25,864.31

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Solution

The fourth proportional to 78,461.66, 117,680.95 and 25,864.31 is: 38,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,461.66 : 117,680.95 = 25,864.31 : x
  2. Step 2: Convert to fraction form
    78,461.66/117,680.95 = 25,864.31/x
  3. Step 3: Cross multiply
    78,461.66x = 117,680.95 × 25,864.31
  4. Step 4: Simplify right side
    78,461.66x = 3,043,736,898.43
  5. Step 5: Solve for x
    x = 3,043,736,898.43/78,461.66
  6. Step 6: Final answer
    x = 38,792.66

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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.