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Finding the Fourth Proportional to 103,586.60, 155,418.30 and 99,746.60

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Solution

The fourth proportional to 103,586.60, 155,418.30 and 99,746.60 is: 149,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,586.60 : 155,418.30 = 99,746.60 : x
  2. Step 2: Convert to fraction form
    103,586.60/155,418.30 = 99,746.60/x
  3. Step 3: Cross multiply
    103,586.60x = 155,418.30 × 99,746.60
  4. Step 4: Simplify right side
    103,586.60x = 15,502,447,002.78
  5. Step 5: Solve for x
    x = 15,502,447,002.78/103,586.60
  6. Step 6: Final answer
    x = 149,656.88

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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.