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Finding the Fourth Proportional to 189,772.64, 284,439.80 and 71,368.40

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Solution

The fourth proportional to 189,772.64, 284,439.80 and 71,368.40 is: 106,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,772.64 : 284,439.80 = 71,368.40 : x
  2. Step 2: Convert to fraction form
    189,772.64/284,439.80 = 71,368.40/x
  3. Step 3: Cross multiply
    189,772.64x = 284,439.80 × 71,368.40
  4. Step 4: Simplify right side
    189,772.64x = 20,300,013,422.32
  5. Step 5: Solve for x
    x = 20,300,013,422.32/189,772.64
  6. Step 6: Final answer
    x = 106,970.18

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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.