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Finding the Fourth Proportional to 47,085.78, 65,008.74 and 29,199.78

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Solution

The fourth proportional to 47,085.78, 65,008.74 and 29,199.78 is: 40,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,085.78 : 65,008.74 = 29,199.78 : x
  2. Step 2: Convert to fraction form
    47,085.78/65,008.74 = 29,199.78/x
  3. Step 3: Cross multiply
    47,085.78x = 65,008.74 × 29,199.78
  4. Step 4: Simplify right side
    47,085.78x = 1,898,240,906.08
  5. Step 5: Solve for x
    x = 1,898,240,906.08/47,085.78
  6. Step 6: Final answer
    x = 40,314.53

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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.