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Finding the Fourth Proportional to 206,802.02, 285,314.10 and 135,223.94

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Solution

The fourth proportional to 206,802.02, 285,314.10 and 135,223.94 is: 186,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802.02 : 285,314.10 = 135,223.94 : x
  2. Step 2: Convert to fraction form
    206,802.02/285,314.10 = 135,223.94/x
  3. Step 3: Cross multiply
    206,802.02x = 285,314.10 × 135,223.94
  4. Step 4: Simplify right side
    206,802.02x = 38,581,295,312.98
  5. Step 5: Solve for x
    x = 38,581,295,312.98/206,802.02
  6. Step 6: Final answer
    x = 186,561.51

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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.