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Finding the Fourth Proportional to 50,803.82, 70,143.50 and 31,712.66

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Solution

The fourth proportional to 50,803.82, 70,143.50 and 31,712.66 is: 43,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,803.82 : 70,143.50 = 31,712.66 : x
  2. Step 2: Convert to fraction form
    50,803.82/70,143.50 = 31,712.66/x
  3. Step 3: Cross multiply
    50,803.82x = 70,143.50 × 31,712.66
  4. Step 4: Simplify right side
    50,803.82x = 2,224,436,966.71
  5. Step 5: Solve for x
    x = 2,224,436,966.71/50,803.82
  6. Step 6: Final answer
    x = 43,784.84

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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.