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Finding the Fourth Proportional to 47,768.99, 65,859.23 and 30,742.79

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Solution

The fourth proportional to 47,768.99, 65,859.23 and 30,742.79 is: 42,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.99 : 65,859.23 = 30,742.79 : x
  2. Step 2: Convert to fraction form
    47,768.99/65,859.23 = 30,742.79/x
  3. Step 3: Cross multiply
    47,768.99x = 65,859.23 × 30,742.79
  4. Step 4: Simplify right side
    47,768.99x = 2,024,696,323.74
  5. Step 5: Solve for x
    x = 2,024,696,323.74/47,768.99
  6. Step 6: Final answer
    x = 42,385.16

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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.