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Finding the Fourth Proportional to 47,455, 65,489.04 and 30,717.16

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Solution

The fourth proportional to 47,455, 65,489.04 and 30,717.16 is: 42,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,455 : 65,489.04 = 30,717.16 : x
  2. Step 2: Convert to fraction form
    47,455/65,489.04 = 30,717.16/x
  3. Step 3: Cross multiply
    47,455x = 65,489.04 × 30,717.16
  4. Step 4: Simplify right side
    47,455x = 2,011,637,319.93
  5. Step 5: Solve for x
    x = 2,011,637,319.93/47,455
  6. Step 6: Final answer
    x = 42,390.42

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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.