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Finding the Fourth Proportional to 201,824.50, 278,526.46 and 112,400.50

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Solution

The fourth proportional to 201,824.50, 278,526.46 and 112,400.50 is: 155,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,824.50 : 278,526.46 = 112,400.50 : x
  2. Step 2: Convert to fraction form
    201,824.50/278,526.46 = 112,400.50/x
  3. Step 3: Cross multiply
    201,824.50x = 278,526.46 × 112,400.50
  4. Step 4: Simplify right side
    201,824.50x = 31,306,513,367.23
  5. Step 5: Solve for x
    x = 31,306,513,367.23/201,824.50
  6. Step 6: Final answer
    x = 155,117.51

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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.