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Finding the Fourth Proportional to 100,856.40, 151,284.60 and 100,856.40

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Solution

The fourth proportional to 100,856.40, 151,284.60 and 100,856.40 is: 151,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,856.40 : 151,284.60 = 100,856.40 : x
  2. Step 2: Convert to fraction form
    100,856.40/151,284.60 = 100,856.40/x
  3. Step 3: Cross multiply
    100,856.40x = 151,284.60 × 100,856.40
  4. Step 4: Simplify right side
    100,856.40x = 15,258,020,131.44
  5. Step 5: Solve for x
    x = 15,258,020,131.44/100,856.40
  6. Step 6: Final answer
    x = 151,284.60

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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.