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Finding the Fourth Proportional to 231,594.80, 319,606.56 and 129,619.40

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Solution

The fourth proportional to 231,594.80, 319,606.56 and 129,619.40 is: 178,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,594.80 : 319,606.56 = 129,619.40 : x
  2. Step 2: Convert to fraction form
    231,594.80/319,606.56 = 129,619.40/x
  3. Step 3: Cross multiply
    231,594.80x = 319,606.56 × 129,619.40
  4. Step 4: Simplify right side
    231,594.80x = 41,427,210,543.26
  5. Step 5: Solve for x
    x = 41,427,210,543.26/231,594.80
  6. Step 6: Final answer
    x = 178,877.98

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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.