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Finding the Fourth Proportional to 201,829.50, 278,533.35 and 112,405.50

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Solution

The fourth proportional to 201,829.50, 278,533.35 and 112,405.50 is: 155,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,829.50 : 278,533.35 = 112,405.50 : x
  2. Step 2: Convert to fraction form
    201,829.50/278,533.35 = 112,405.50/x
  3. Step 3: Cross multiply
    201,829.50x = 278,533.35 × 112,405.50
  4. Step 4: Simplify right side
    201,829.50x = 31,308,680,473.43
  5. Step 5: Solve for x
    x = 31,308,680,473.43/201,829.50
  6. Step 6: Final answer
    x = 155,124.40

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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.