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Finding the Fourth Proportional to 57,124.78, 78,830.93 and 31,629.63

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Solution

The fourth proportional to 57,124.78, 78,830.93 and 31,629.63 is: 43,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,124.78 : 78,830.93 = 31,629.63 : x
  2. Step 2: Convert to fraction form
    57,124.78/78,830.93 = 31,629.63/x
  3. Step 3: Cross multiply
    57,124.78x = 78,830.93 × 31,629.63
  4. Step 4: Simplify right side
    57,124.78x = 2,493,393,148.46
  5. Step 5: Solve for x
    x = 2,493,393,148.46/57,124.78
  6. Step 6: Final answer
    x = 43,648.19

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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.