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Finding the Fourth Proportional to 208,521.52, 287,758.04 and 113,025.76

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Solution

The fourth proportional to 208,521.52, 287,758.04 and 113,025.76 is: 155,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,521.52 : 287,758.04 = 113,025.76 : x
  2. Step 2: Convert to fraction form
    208,521.52/287,758.04 = 113,025.76/x
  3. Step 3: Cross multiply
    208,521.52x = 287,758.04 × 113,025.76
  4. Step 4: Simplify right side
    208,521.52x = 32,524,071,167.11
  5. Step 5: Solve for x
    x = 32,524,071,167.11/208,521.52
  6. Step 6: Final answer
    x = 155,974.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.