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Finding the Fourth Proportional to 103,505.60, 155,124.36 and 43,466

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Solution

The fourth proportional to 103,505.60, 155,124.36 and 43,466 is: 65,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,505.60 : 155,124.36 = 43,466 : x
  2. Step 2: Convert to fraction form
    103,505.60/155,124.36 = 43,466/x
  3. Step 3: Cross multiply
    103,505.60x = 155,124.36 × 43,466
  4. Step 4: Simplify right side
    103,505.60x = 6,742,635,431.76
  5. Step 5: Solve for x
    x = 6,742,635,431.76/103,505.60
  6. Step 6: Final answer
    x = 65,142.71

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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.