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Finding the Fourth Proportional to 131,953.68, 181,978.41 and 102,889.16

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Solution

The fourth proportional to 131,953.68, 181,978.41 and 102,889.16 is: 141,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,953.68 : 181,978.41 = 102,889.16 : x
  2. Step 2: Convert to fraction form
    131,953.68/181,978.41 = 102,889.16/x
  3. Step 3: Cross multiply
    131,953.68x = 181,978.41 × 102,889.16
  4. Step 4: Simplify right side
    131,953.68x = 18,723,605,743.04
  5. Step 5: Solve for x
    x = 18,723,605,743.04/131,953.68
  6. Step 6: Final answer
    x = 141,895.29

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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.