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Finding the Fourth Proportional to 92,776.92, 128,031 and 50,335.14

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Solution

The fourth proportional to 92,776.92, 128,031 and 50,335.14 is: 69,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,776.92 : 128,031 = 50,335.14 : x
  2. Step 2: Convert to fraction form
    92,776.92/128,031 = 50,335.14/x
  3. Step 3: Cross multiply
    92,776.92x = 128,031 × 50,335.14
  4. Step 4: Simplify right side
    92,776.92x = 6,444,458,309.34
  5. Step 5: Solve for x
    x = 6,444,458,309.34/92,776.92
  6. Step 6: Final answer
    x = 69,461.87

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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.