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Finding the Fourth Proportional to 189,772.88, 284,580.95 and 77,376.87

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Solution

The fourth proportional to 189,772.88, 284,580.95 and 77,376.87 is: 116,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,772.88 : 284,580.95 = 77,376.87 : x
  2. Step 2: Convert to fraction form
    189,772.88/284,580.95 = 77,376.87/x
  3. Step 3: Cross multiply
    189,772.88x = 284,580.95 × 77,376.87
  4. Step 4: Simplify right side
    189,772.88x = 22,019,982,785.74
  5. Step 5: Solve for x
    x = 22,019,982,785.74/189,772.88
  6. Step 6: Final answer
    x = 116,033.35

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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.