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Finding the Fourth Proportional to 202,200.96, 279,038.28 and 111,558

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Solution

The fourth proportional to 202,200.96, 279,038.28 and 111,558 is: 153,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,200.96 : 279,038.28 = 111,558 : x
  2. Step 2: Convert to fraction form
    202,200.96/279,038.28 = 111,558/x
  3. Step 3: Cross multiply
    202,200.96x = 279,038.28 × 111,558
  4. Step 4: Simplify right side
    202,200.96x = 31,128,952,440.24
  5. Step 5: Solve for x
    x = 31,128,952,440.24/202,200.96
  6. Step 6: Final answer
    x = 153,950.57

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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.