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Finding the Fourth Proportional to 103,806.60, 155,709.90 and 101,838.30

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Solution

The fourth proportional to 103,806.60, 155,709.90 and 101,838.30 is: 152,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.60 : 155,709.90 = 101,838.30 : x
  2. Step 2: Convert to fraction form
    103,806.60/155,709.90 = 101,838.30/x
  3. Step 3: Cross multiply
    103,806.60x = 155,709.90 × 101,838.30
  4. Step 4: Simplify right side
    103,806.60x = 15,857,231,509.17
  5. Step 5: Solve for x
    x = 15,857,231,509.17/103,806.60
  6. Step 6: Final answer
    x = 152,757.45

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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.