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Finding the Fourth Proportional to 106,688.78, 160,042.31 and 27,802.88

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Solution

The fourth proportional to 106,688.78, 160,042.31 and 27,802.88 is: 41,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,688.78 : 160,042.31 = 27,802.88 : x
  2. Step 2: Convert to fraction form
    106,688.78/160,042.31 = 27,802.88/x
  3. Step 3: Cross multiply
    106,688.78x = 160,042.31 × 27,802.88
  4. Step 4: Simplify right side
    106,688.78x = 4,449,637,139.85
  5. Step 5: Solve for x
    x = 4,449,637,139.85/106,688.78
  6. Step 6: Final answer
    x = 41,706.70

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1.5x scale

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.