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Finding the Fourth Proportional to 137,884.68, 190,270.47 and 77,443.51

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Solution

The fourth proportional to 137,884.68, 190,270.47 and 77,443.51 is: 106,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,884.68 : 190,270.47 = 77,443.51 : x
  2. Step 2: Convert to fraction form
    137,884.68/190,270.47 = 77,443.51/x
  3. Step 3: Cross multiply
    137,884.68x = 190,270.47 × 77,443.51
  4. Step 4: Simplify right side
    137,884.68x = 14,735,213,046.15
  5. Step 5: Solve for x
    x = 14,735,213,046.15/137,884.68
  6. Step 6: Final answer
    x = 106,866.21

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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.