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Finding the Fourth Proportional to 57,689.94, 78,544.16 and 57,512.24

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Solution

The fourth proportional to 57,689.94, 78,544.16 and 57,512.24 is: 78,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,689.94 : 78,544.16 = 57,512.24 : x
  2. Step 2: Convert to fraction form
    57,689.94/78,544.16 = 57,512.24/x
  3. Step 3: Cross multiply
    57,689.94x = 78,544.16 × 57,512.24
  4. Step 4: Simplify right side
    57,689.94x = 4,517,250,580.52
  5. Step 5: Solve for x
    x = 4,517,250,580.52/57,689.94
  6. Step 6: Final answer
    x = 78,302.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.