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Finding the Fourth Proportional to 130,063.71, 179,434.80 and 103,098

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Solution

The fourth proportional to 130,063.71, 179,434.80 and 103,098 is: 142,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,063.71 : 179,434.80 = 103,098 : x
  2. Step 2: Convert to fraction form
    130,063.71/179,434.80 = 103,098/x
  3. Step 3: Cross multiply
    130,063.71x = 179,434.80 × 103,098
  4. Step 4: Simplify right side
    130,063.71x = 18,499,369,010.40
  5. Step 5: Solve for x
    x = 18,499,369,010.40/130,063.71
  6. Step 6: Final answer
    x = 142,233.13

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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.