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Finding the Fourth Proportional to 100,187.82, 138,116.70 and 61,925.72

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Solution

The fourth proportional to 100,187.82, 138,116.70 and 61,925.72 is: 85,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,187.82 : 138,116.70 = 61,925.72 : x
  2. Step 2: Convert to fraction form
    100,187.82/138,116.70 = 61,925.72/x
  3. Step 3: Cross multiply
    100,187.82x = 138,116.70 × 61,925.72
  4. Step 4: Simplify right side
    100,187.82x = 8,552,975,400.94
  5. Step 5: Solve for x
    x = 8,552,975,400.94/100,187.82
  6. Step 6: Final answer
    x = 85,369.41

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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.