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Finding the Fourth Proportional to 202,223.76, 279,074.16 and 111,580.80

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Solution

The fourth proportional to 202,223.76, 279,074.16 and 111,580.80 is: 153,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,223.76 : 279,074.16 = 111,580.80 : x
  2. Step 2: Convert to fraction form
    202,223.76/279,074.16 = 111,580.80/x
  3. Step 3: Cross multiply
    202,223.76x = 279,074.16 × 111,580.80
  4. Step 4: Simplify right side
    202,223.76x = 31,139,318,032.13
  5. Step 5: Solve for x
    x = 31,139,318,032.13/202,223.76
  6. Step 6: Final answer
    x = 153,984.47

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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.