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Finding the Fourth Proportional to 208,883.67, 288,154.63 and 140,814.51

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Solution

The fourth proportional to 208,883.67, 288,154.63 and 140,814.51 is: 194,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,883.67 : 288,154.63 = 140,814.51 : x
  2. Step 2: Convert to fraction form
    208,883.67/288,154.63 = 140,814.51/x
  3. Step 3: Cross multiply
    208,883.67x = 288,154.63 × 140,814.51
  4. Step 4: Simplify right side
    208,883.67x = 40,576,353,027.68
  5. Step 5: Solve for x
    x = 40,576,353,027.68/208,883.67
  6. Step 6: Final answer
    x = 194,253.35

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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.