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Finding the Fourth Proportional to 201,459.58, 278,020.83 and 110,822.50

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Solution

The fourth proportional to 201,459.58, 278,020.83 and 110,822.50 is: 152,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,459.58 : 278,020.83 = 110,822.50 : x
  2. Step 2: Convert to fraction form
    201,459.58/278,020.83 = 110,822.50/x
  3. Step 3: Cross multiply
    201,459.58x = 278,020.83 × 110,822.50
  4. Step 4: Simplify right side
    201,459.58x = 30,810,963,432.68
  5. Step 5: Solve for x
    x = 30,810,963,432.68/201,459.58
  6. Step 6: Final answer
    x = 152,938.69

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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.