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Finding the Fourth Proportional to 189,970.92, 284,972.76 and 49,729.50

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Solution

The fourth proportional to 189,970.92, 284,972.76 and 49,729.50 is: 74,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,970.92 : 284,972.76 = 49,729.50 : x
  2. Step 2: Convert to fraction form
    189,970.92/284,972.76 = 49,729.50/x
  3. Step 3: Cross multiply
    189,970.92x = 284,972.76 × 49,729.50
  4. Step 4: Simplify right side
    189,970.92x = 14,171,552,868.42
  5. Step 5: Solve for x
    x = 14,171,552,868.42/189,970.92
  6. Step 6: Final answer
    x = 74,598.54

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1.5x scale

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.