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Finding the Fourth Proportional to 208,407.60, 287,588.88 and 132,948

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Solution

The fourth proportional to 208,407.60, 287,588.88 and 132,948 is: 183,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,407.60 : 287,588.88 = 132,948 : x
  2. Step 2: Convert to fraction form
    208,407.60/287,588.88 = 132,948/x
  3. Step 3: Cross multiply
    208,407.60x = 287,588.88 × 132,948
  4. Step 4: Simplify right side
    208,407.60x = 38,234,366,418.24
  5. Step 5: Solve for x
    x = 38,234,366,418.24/208,407.60
  6. Step 6: Final answer
    x = 183,459.56

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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.