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Finding the Fourth Proportional to 103,967.52, 155,804.40 and 80,484

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Solution

The fourth proportional to 103,967.52, 155,804.40 and 80,484 is: 120,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,967.52 : 155,804.40 = 80,484 : x
  2. Step 2: Convert to fraction form
    103,967.52/155,804.40 = 80,484/x
  3. Step 3: Cross multiply
    103,967.52x = 155,804.40 × 80,484
  4. Step 4: Simplify right side
    103,967.52x = 12,539,761,329.60
  5. Step 5: Solve for x
    x = 12,539,761,329.60/103,967.52
  6. Step 6: Final answer
    x = 120,612.30

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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.