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Finding the Fourth Proportional to 102,453.98, 153,644 and 43,294.22

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Solution

The fourth proportional to 102,453.98, 153,644 and 43,294.22 is: 64,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,453.98 : 153,644 = 43,294.22 : x
  2. Step 2: Convert to fraction form
    102,453.98/153,644 = 43,294.22/x
  3. Step 3: Cross multiply
    102,453.98x = 153,644 × 43,294.22
  4. Step 4: Simplify right side
    102,453.98x = 6,651,897,137.68
  5. Step 5: Solve for x
    x = 6,651,897,137.68/102,453.98
  6. Step 6: Final answer
    x = 64,925.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.