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Finding the Fourth Proportional to 144,637.40, 199,593.74 and 84,209.80

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Solution

The fourth proportional to 144,637.40, 199,593.74 and 84,209.80 is: 116,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,637.40 : 199,593.74 = 84,209.80 : x
  2. Step 2: Convert to fraction form
    144,637.40/199,593.74 = 84,209.80/x
  3. Step 3: Cross multiply
    144,637.40x = 199,593.74 × 84,209.80
  4. Step 4: Simplify right side
    144,637.40x = 16,807,748,926.65
  5. Step 5: Solve for x
    x = 16,807,748,926.65/144,637.40
  6. Step 6: Final answer
    x = 116,206.11

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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.