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Finding the Fourth Proportional to 137,888.71, 190,276.19 and 77,469.41

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Solution

The fourth proportional to 137,888.71, 190,276.19 and 77,469.41 is: 106,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,888.71 : 190,276.19 = 77,469.41 : x
  2. Step 2: Convert to fraction form
    137,888.71/190,276.19 = 77,469.41/x
  3. Step 3: Cross multiply
    137,888.71x = 190,276.19 × 77,469.41
  4. Step 4: Simplify right side
    137,888.71x = 14,740,584,264.69
  5. Step 5: Solve for x
    x = 14,740,584,264.69/137,888.71
  6. Step 6: Final answer
    x = 106,902.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.