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Finding the Fourth Proportional to 189,925.45, 284,783 and 77,684.49

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Solution

The fourth proportional to 189,925.45, 284,783 and 77,684.49 is: 116,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,925.45 : 284,783 = 77,684.49 : x
  2. Step 2: Convert to fraction form
    189,925.45/284,783 = 77,684.49/x
  3. Step 3: Cross multiply
    189,925.45x = 284,783 × 77,684.49
  4. Step 4: Simplify right side
    189,925.45x = 22,123,220,691.76
  5. Step 5: Solve for x
    x = 22,123,220,691.76/189,925.45
  6. Step 6: Final answer
    x = 116,483.71

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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.