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Finding the Fourth Proportional to 47,691.10, 65,804.16 and 30,668.68

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Solution

The fourth proportional to 47,691.10, 65,804.16 and 30,668.68 is: 42,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,691.10 : 65,804.16 = 30,668.68 : x
  2. Step 2: Convert to fraction form
    47,691.10/65,804.16 = 30,668.68/x
  3. Step 3: Cross multiply
    47,691.10x = 65,804.16 × 30,668.68
  4. Step 4: Simplify right side
    47,691.10x = 2,018,126,725.71
  5. Step 5: Solve for x
    x = 2,018,126,725.71/47,691.10
  6. Step 6: Final answer
    x = 42,316.63

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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.