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Finding the Fourth Proportional to 137,297.80, 189,337.84 and 107,072.11

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Solution

The fourth proportional to 137,297.80, 189,337.84 and 107,072.11 is: 147,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,297.80 : 189,337.84 = 107,072.11 : x
  2. Step 2: Convert to fraction form
    137,297.80/189,337.84 = 107,072.11/x
  3. Step 3: Cross multiply
    137,297.80x = 189,337.84 × 107,072.11
  4. Step 4: Simplify right side
    137,297.80x = 20,272,802,031.64
  5. Step 5: Solve for x
    x = 20,272,802,031.64/137,297.80
  6. Step 6: Final answer
    x = 147,655.69

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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.