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Finding the Fourth Proportional to 153,806.20, 212,253.08 and 85,821.94

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Solution

The fourth proportional to 153,806.20, 212,253.08 and 85,821.94 is: 118,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,806.20 : 212,253.08 = 85,821.94 : x
  2. Step 2: Convert to fraction form
    153,806.20/212,253.08 = 85,821.94/x
  3. Step 3: Cross multiply
    153,806.20x = 212,253.08 × 85,821.94
  4. Step 4: Simplify right side
    153,806.20x = 18,215,971,096.58
  5. Step 5: Solve for x
    x = 18,215,971,096.58/153,806.20
  6. Step 6: Final answer
    x = 118,434.57

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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.