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Finding the Fourth Proportional to 133,802.12, 200,664.84 and 53,840

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Solution

The fourth proportional to 133,802.12, 200,664.84 and 53,840 is: 80,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,802.12 : 200,664.84 = 53,840 : x
  2. Step 2: Convert to fraction form
    133,802.12/200,664.84 = 53,840/x
  3. Step 3: Cross multiply
    133,802.12x = 200,664.84 × 53,840
  4. Step 4: Simplify right side
    133,802.12x = 10,803,794,985.60
  5. Step 5: Solve for x
    x = 10,803,794,985.60/133,802.12
  6. Step 6: Final answer
    x = 80,744.57

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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.