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Finding the Fourth Proportional to 47,291.92, 65,289.58 and 31,398.10

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Solution

The fourth proportional to 47,291.92, 65,289.58 and 31,398.10 is: 43,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,291.92 : 65,289.58 = 31,398.10 : x
  2. Step 2: Convert to fraction form
    47,291.92/65,289.58 = 31,398.10/x
  3. Step 3: Cross multiply
    47,291.92x = 65,289.58 × 31,398.10
  4. Step 4: Simplify right side
    47,291.92x = 2,049,968,520.08
  5. Step 5: Solve for x
    x = 2,049,968,520.08/47,291.92
  6. Step 6: Final answer
    x = 43,347.12

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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.