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Finding the Fourth Proportional to 208,923.94, 313,510.43 and 75,814.58

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Solution

The fourth proportional to 208,923.94, 313,510.43 and 75,814.58 is: 113,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,923.94 : 313,510.43 = 75,814.58 : x
  2. Step 2: Convert to fraction form
    208,923.94/313,510.43 = 75,814.58/x
  3. Step 3: Cross multiply
    208,923.94x = 313,510.43 × 75,814.58
  4. Step 4: Simplify right side
    208,923.94x = 23,768,662,549.38
  5. Step 5: Solve for x
    x = 23,768,662,549.38/208,923.94
  6. Step 6: Final answer
    x = 113,767.06

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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.