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Finding the Fourth Proportional to 57,117.84, 78,739.92 and 39,184.80

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Solution

The fourth proportional to 57,117.84, 78,739.92 and 39,184.80 is: 54,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,117.84 : 78,739.92 = 39,184.80 : x
  2. Step 2: Convert to fraction form
    57,117.84/78,739.92 = 39,184.80/x
  3. Step 3: Cross multiply
    57,117.84x = 78,739.92 × 39,184.80
  4. Step 4: Simplify right side
    57,117.84x = 3,085,408,017.22
  5. Step 5: Solve for x
    x = 3,085,408,017.22/57,117.84
  6. Step 6: Final answer
    x = 54,018.29

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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.