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Finding the Fourth Proportional to 133,990.47, 200,722.93 and 77,712.36

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Solution

The fourth proportional to 133,990.47, 200,722.93 and 77,712.36 is: 116,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,990.47 : 200,722.93 = 77,712.36 : x
  2. Step 2: Convert to fraction form
    133,990.47/200,722.93 = 77,712.36/x
  3. Step 3: Cross multiply
    133,990.47x = 200,722.93 × 77,712.36
  4. Step 4: Simplify right side
    133,990.47x = 15,598,652,778.49
  5. Step 5: Solve for x
    x = 15,598,652,778.49/133,990.47
  6. Step 6: Final answer
    x = 116,416.14

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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.