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Finding the Fourth Proportional to 189,542.86, 284,478.05 and 77,284.96

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Solution

The fourth proportional to 189,542.86, 284,478.05 and 77,284.96 is: 115,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,542.86 : 284,478.05 = 77,284.96 : x
  2. Step 2: Convert to fraction form
    189,542.86/284,478.05 = 77,284.96/x
  3. Step 3: Cross multiply
    189,542.86x = 284,478.05 × 77,284.96
  4. Step 4: Simplify right side
    189,542.86x = 21,985,874,715.13
  5. Step 5: Solve for x
    x = 21,985,874,715.13/189,542.86
  6. Step 6: Final answer
    x = 115,994.21

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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.