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Finding the Fourth Proportional to 201,853.50, 278,557.84 and 112,429.50

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Solution

The fourth proportional to 201,853.50, 278,557.84 and 112,429.50 is: 155,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,853.50 : 278,557.84 = 112,429.50 : x
  2. Step 2: Convert to fraction form
    201,853.50/278,557.84 = 112,429.50/x
  3. Step 3: Cross multiply
    201,853.50x = 278,557.84 × 112,429.50
  4. Step 4: Simplify right side
    201,853.50x = 31,318,118,672.28
  5. Step 5: Solve for x
    x = 31,318,118,672.28/201,853.50
  6. Step 6: Final answer
    x = 155,152.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.