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Finding the Fourth Proportional to 42,015.45, 57,978.58 and 23,152.57

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Solution

The fourth proportional to 42,015.45, 57,978.58 and 23,152.57 is: 31,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,015.45 : 57,978.58 = 23,152.57 : x
  2. Step 2: Convert to fraction form
    42,015.45/57,978.58 = 23,152.57/x
  3. Step 3: Cross multiply
    42,015.45x = 57,978.58 × 23,152.57
  4. Step 4: Simplify right side
    42,015.45x = 1,342,353,131.95
  5. Step 5: Solve for x
    x = 1,342,353,131.95/42,015.45
  6. Step 6: Final answer
    x = 31,949.04

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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.