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Finding the Fourth Proportional to 208,084.68, 312,143.04 and 74,977.92

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Solution

The fourth proportional to 208,084.68, 312,143.04 and 74,977.92 is: 112,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,084.68 : 312,143.04 = 74,977.92 : x
  2. Step 2: Convert to fraction form
    208,084.68/312,143.04 = 74,977.92/x
  3. Step 3: Cross multiply
    208,084.68x = 312,143.04 × 74,977.92
  4. Step 4: Simplify right side
    208,084.68x = 23,403,835,881.68
  5. Step 5: Solve for x
    x = 23,403,835,881.68/208,084.68
  6. Step 6: Final answer
    x = 112,472.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.