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Finding the Fourth Proportional to 202,027.47, 278,809.70 and 111,402.74

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Solution

The fourth proportional to 202,027.47, 278,809.70 and 111,402.74 is: 153,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,027.47 : 278,809.70 = 111,402.74 : x
  2. Step 2: Convert to fraction form
    202,027.47/278,809.70 = 111,402.74/x
  3. Step 3: Cross multiply
    202,027.47x = 278,809.70 × 111,402.74
  4. Step 4: Simplify right side
    202,027.47x = 31,060,164,658.59
  5. Step 5: Solve for x
    x = 31,060,164,658.59/202,027.47
  6. Step 6: Final answer
    x = 153,742.29

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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.