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Finding the Fourth Proportional to 189,539.52, 284,407.68 and 77,302.08

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Solution

The fourth proportional to 189,539.52, 284,407.68 and 77,302.08 is: 115,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,539.52 : 284,407.68 = 77,302.08 : x
  2. Step 2: Convert to fraction form
    189,539.52/284,407.68 = 77,302.08/x
  3. Step 3: Cross multiply
    189,539.52x = 284,407.68 × 77,302.08
  4. Step 4: Simplify right side
    189,539.52x = 21,985,305,231.97
  5. Step 5: Solve for x
    x = 21,985,305,231.97/189,539.52
  6. Step 6: Final answer
    x = 115,993.25

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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.