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Finding the Fourth Proportional to 71,905.32, 99,200.12 and 47,717.69

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Solution

The fourth proportional to 71,905.32, 99,200.12 and 47,717.69 is: 65,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,905.32 : 99,200.12 = 47,717.69 : x
  2. Step 2: Convert to fraction form
    71,905.32/99,200.12 = 47,717.69/x
  3. Step 3: Cross multiply
    71,905.32x = 99,200.12 × 47,717.69
  4. Step 4: Simplify right side
    71,905.32x = 4,733,599,839.53
  5. Step 5: Solve for x
    x = 4,733,599,839.53/71,905.32
  6. Step 6: Final answer
    x = 65,831.01

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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.