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Finding the Fourth Proportional to 208,937, 313,530.04 and 75,827.66

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Solution

The fourth proportional to 208,937, 313,530.04 and 75,827.66 is: 113,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,937 : 313,530.04 = 75,827.66 : x
  2. Step 2: Convert to fraction form
    208,937/313,530.04 = 75,827.66/x
  3. Step 3: Cross multiply
    208,937x = 313,530.04 × 75,827.66
  4. Step 4: Simplify right side
    208,937x = 23,774,249,272.91
  5. Step 5: Solve for x
    x = 23,774,249,272.91/208,937
  6. Step 6: Final answer
    x = 113,786.69

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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.