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Finding the Fourth Proportional to 78,274.24, 108,018.49 and 42,464.24

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Solution

The fourth proportional to 78,274.24, 108,018.49 and 42,464.24 is: 58,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,274.24 : 108,018.49 = 42,464.24 : x
  2. Step 2: Convert to fraction form
    78,274.24/108,018.49 = 42,464.24/x
  3. Step 3: Cross multiply
    78,274.24x = 108,018.49 × 42,464.24
  4. Step 4: Simplify right side
    78,274.24x = 4,586,923,428.57
  5. Step 5: Solve for x
    x = 4,586,923,428.57/78,274.24
  6. Step 6: Final answer
    x = 58,600.68

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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.