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Finding the Fourth Proportional to 153,286.83, 211,531.50 and 85,302.72

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Solution

The fourth proportional to 153,286.83, 211,531.50 and 85,302.72 is: 117,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,286.83 : 211,531.50 = 85,302.72 : x
  2. Step 2: Convert to fraction form
    153,286.83/211,531.50 = 85,302.72/x
  3. Step 3: Cross multiply
    153,286.83x = 211,531.50 × 85,302.72
  4. Step 4: Simplify right side
    153,286.83x = 18,044,212,315.68
  5. Step 5: Solve for x
    x = 18,044,212,315.68/153,286.83
  6. Step 6: Final answer
    x = 117,715.35

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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.