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Finding the Fourth Proportional to 189,600.82, 284,331.47 and 77,220

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Solution

The fourth proportional to 189,600.82, 284,331.47 and 77,220 is: 115,801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,600.82 : 284,331.47 = 77,220 : x
  2. Step 2: Convert to fraction form
    189,600.82/284,331.47 = 77,220/x
  3. Step 3: Cross multiply
    189,600.82x = 284,331.47 × 77,220
  4. Step 4: Simplify right side
    189,600.82x = 21,956,075,727.30
  5. Step 5: Solve for x
    x = 21,956,075,727.30/189,600.82
  6. Step 6: Final answer
    x = 115,801.59

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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.