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Finding the Fourth Proportional to 42,015.30, 57,978.80 and 26,099.46

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Solution

The fourth proportional to 42,015.30, 57,978.80 and 26,099.46 is: 36,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,015.30 : 57,978.80 = 26,099.46 : x
  2. Step 2: Convert to fraction form
    42,015.30/57,978.80 = 26,099.46/x
  3. Step 3: Cross multiply
    42,015.30x = 57,978.80 × 26,099.46
  4. Step 4: Simplify right side
    42,015.30x = 1,513,215,371.45
  5. Step 5: Solve for x
    x = 1,513,215,371.45/42,015.30
  6. Step 6: Final answer
    x = 36,015.82

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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.