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Finding the Fourth Proportional to 131,295, 181,187.10 and 74,739

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Solution

The fourth proportional to 131,295, 181,187.10 and 74,739 is: 103,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,295 : 181,187.10 = 74,739 : x
  2. Step 2: Convert to fraction form
    131,295/181,187.10 = 74,739/x
  3. Step 3: Cross multiply
    131,295x = 181,187.10 × 74,739
  4. Step 4: Simplify right side
    131,295x = 13,541,742,666.90
  5. Step 5: Solve for x
    x = 13,541,742,666.90/131,295
  6. Step 6: Final answer
    x = 103,139.82

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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.