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Finding the Fourth Proportional to 103,923.46, 155,784.95 and 47,802

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Solution

The fourth proportional to 103,923.46, 155,784.95 and 47,802 is: 71,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,923.46 : 155,784.95 = 47,802 : x
  2. Step 2: Convert to fraction form
    103,923.46/155,784.95 = 47,802/x
  3. Step 3: Cross multiply
    103,923.46x = 155,784.95 × 47,802
  4. Step 4: Simplify right side
    103,923.46x = 7,446,832,179.90
  5. Step 5: Solve for x
    x = 7,446,832,179.90/103,923.46
  6. Step 6: Final answer
    x = 71,656.89

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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.