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Finding the Fourth Proportional to 137,171.58, 189,254.79 and 89,407.50

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Solution

The fourth proportional to 137,171.58, 189,254.79 and 89,407.50 is: 123,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,171.58 : 189,254.79 = 89,407.50 : x
  2. Step 2: Convert to fraction form
    137,171.58/189,254.79 = 89,407.50/x
  3. Step 3: Cross multiply
    137,171.58x = 189,254.79 × 89,407.50
  4. Step 4: Simplify right side
    137,171.58x = 16,920,797,636.93
  5. Step 5: Solve for x
    x = 16,920,797,636.93/137,171.58
  6. Step 6: Final answer
    x = 123,354.98

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1.5x scale

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.