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Finding the Fourth Proportional to 130,486.76, 180,158.47 and 100,218

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Solution

The fourth proportional to 130,486.76, 180,158.47 and 100,218 is: 138,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,486.76 : 180,158.47 = 100,218 : x
  2. Step 2: Convert to fraction form
    130,486.76/180,158.47 = 100,218/x
  3. Step 3: Cross multiply
    130,486.76x = 180,158.47 × 100,218
  4. Step 4: Simplify right side
    130,486.76x = 18,055,121,546.46
  5. Step 5: Solve for x
    x = 18,055,121,546.46/130,486.76
  6. Step 6: Final answer
    x = 138,367.46

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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.