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Finding the Fourth Proportional to 106,866.30, 160,331.54 and 31,988.88

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Solution

The fourth proportional to 106,866.30, 160,331.54 and 31,988.88 is: 47,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866.30 : 160,331.54 = 31,988.88 : x
  2. Step 2: Convert to fraction form
    106,866.30/160,331.54 = 31,988.88/x
  3. Step 3: Cross multiply
    106,866.30x = 160,331.54 × 31,988.88
  4. Step 4: Simplify right side
    106,866.30x = 5,128,826,393.28
  5. Step 5: Solve for x
    x = 5,128,826,393.28/106,866.30
  6. Step 6: Final answer
    x = 47,992.93

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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.