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Finding the Fourth Proportional to 137,401, 189,613.38 and 77,785

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Solution

The fourth proportional to 137,401, 189,613.38 and 77,785 is: 107,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,401 : 189,613.38 = 77,785 : x
  2. Step 2: Convert to fraction form
    137,401/189,613.38 = 77,785/x
  3. Step 3: Cross multiply
    137,401x = 189,613.38 × 77,785
  4. Step 4: Simplify right side
    137,401x = 14,749,076,763.30
  5. Step 5: Solve for x
    x = 14,749,076,763.30/137,401
  6. Step 6: Final answer
    x = 107,343.30

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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.