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Finding the Fourth Proportional to 56,143.46, 77,477.79 and 30,992.78

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Solution

The fourth proportional to 56,143.46, 77,477.79 and 30,992.78 is: 42,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143.46 : 77,477.79 = 30,992.78 : x
  2. Step 2: Convert to fraction form
    56,143.46/77,477.79 = 30,992.78/x
  3. Step 3: Cross multiply
    56,143.46x = 77,477.79 × 30,992.78
  4. Step 4: Simplify right side
    56,143.46x = 2,401,252,100.36
  5. Step 5: Solve for x
    x = 2,401,252,100.36/56,143.46
  6. Step 6: Final answer
    x = 42,769.93

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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.