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Finding the Fourth Proportional to 208,931.68, 313,522 and 75,822.32

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Solution

The fourth proportional to 208,931.68, 313,522 and 75,822.32 is: 113,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,931.68 : 313,522 = 75,822.32 : x
  2. Step 2: Convert to fraction form
    208,931.68/313,522 = 75,822.32/x
  3. Step 3: Cross multiply
    208,931.68x = 313,522 × 75,822.32
  4. Step 4: Simplify right side
    208,931.68x = 23,771,965,411.04
  5. Step 5: Solve for x
    x = 23,771,965,411.04/208,931.68
  6. Step 6: Final answer
    x = 113,778.65

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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.