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Finding the Fourth Proportional to 84,136.80, 126,168.24 and 31,509.40

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Solution

The fourth proportional to 84,136.80, 126,168.24 and 31,509.40 is: 47,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,136.80 : 126,168.24 = 31,509.40 : x
  2. Step 2: Convert to fraction form
    84,136.80/126,168.24 = 31,509.40/x
  3. Step 3: Cross multiply
    84,136.80x = 126,168.24 × 31,509.40
  4. Step 4: Simplify right side
    84,136.80x = 3,975,485,541.46
  5. Step 5: Solve for x
    x = 3,975,485,541.46/84,136.80
  6. Step 6: Final answer
    x = 47,250.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.