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Finding the Fourth Proportional to 137,690.78, 190,013.37 and 77,253.08

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Solution

The fourth proportional to 137,690.78, 190,013.37 and 77,253.08 is: 106,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,690.78 : 190,013.37 = 77,253.08 : x
  2. Step 2: Convert to fraction form
    137,690.78/190,013.37 = 77,253.08/x
  3. Step 3: Cross multiply
    137,690.78x = 190,013.37 × 77,253.08
  4. Step 4: Simplify right side
    137,690.78x = 14,679,118,073.68
  5. Step 5: Solve for x
    x = 14,679,118,073.68/137,690.78
  6. Step 6: Final answer
    x = 106,609.30

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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.