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Finding the Fourth Proportional to 57,136.80, 78,848.40 and 31,984.80

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Solution

The fourth proportional to 57,136.80, 78,848.40 and 31,984.80 is: 44,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.80 : 78,848.40 = 31,984.80 : x
  2. Step 2: Convert to fraction form
    57,136.80/78,848.40 = 31,984.80/x
  3. Step 3: Cross multiply
    57,136.80x = 78,848.40 × 31,984.80
  4. Step 4: Simplify right side
    57,136.80x = 2,521,950,304.32
  5. Step 5: Solve for x
    x = 2,521,950,304.32/57,136.80
  6. Step 6: Final answer
    x = 44,138.81

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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.