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Finding the Fourth Proportional to 213,798.49, 295,073.21 and 123,136.81

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Solution

The fourth proportional to 213,798.49, 295,073.21 and 123,136.81 is: 169,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,798.49 : 295,073.21 = 123,136.81 : x
  2. Step 2: Convert to fraction form
    213,798.49/295,073.21 = 123,136.81/x
  3. Step 3: Cross multiply
    213,798.49x = 295,073.21 × 123,136.81
  4. Step 4: Simplify right side
    213,798.49x = 36,334,373,366.02
  5. Step 5: Solve for x
    x = 36,334,373,366.02/213,798.49
  6. Step 6: Final answer
    x = 169,946.82

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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.