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Finding the Fourth Proportional to 133,722.08, 200,264.28 and 77,443.28

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Solution

The fourth proportional to 133,722.08, 200,264.28 and 77,443.28 is: 115,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,722.08 : 200,264.28 = 77,443.28 : x
  2. Step 2: Convert to fraction form
    133,722.08/200,264.28 = 77,443.28/x
  3. Step 3: Cross multiply
    133,722.08x = 200,264.28 × 77,443.28
  4. Step 4: Simplify right side
    133,722.08x = 15,509,122,710.04
  5. Step 5: Solve for x
    x = 15,509,122,710.04/133,722.08
  6. Step 6: Final answer
    x = 115,980.27

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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.