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Finding the Fourth Proportional to 47,454, 65,487.66 and 30,716.16

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Solution

The fourth proportional to 47,454, 65,487.66 and 30,716.16 is: 42,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,454 : 65,487.66 = 30,716.16 : x
  2. Step 2: Convert to fraction form
    47,454/65,487.66 = 30,716.16/x
  3. Step 3: Cross multiply
    47,454x = 65,487.66 × 30,716.16
  4. Step 4: Simplify right side
    47,454x = 2,011,529,442.59
  5. Step 5: Solve for x
    x = 2,011,529,442.59/47,454
  6. Step 6: Final answer
    x = 42,389.04

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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.