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Finding the Fourth Proportional to 137,484, 189,699.12 and 80,901.60

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Solution

The fourth proportional to 137,484, 189,699.12 and 80,901.60 is: 111,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,484 : 189,699.12 = 80,901.60 : x
  2. Step 2: Convert to fraction form
    137,484/189,699.12 = 80,901.60/x
  3. Step 3: Cross multiply
    137,484x = 189,699.12 × 80,901.60
  4. Step 4: Simplify right side
    137,484x = 15,346,962,326.59
  5. Step 5: Solve for x
    x = 15,346,962,326.59/137,484
  6. Step 6: Final answer
    x = 111,627.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.