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Finding the Fourth Proportional to 106,609, 147,133.38 and 61,897

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Solution

The fourth proportional to 106,609, 147,133.38 and 61,897 is: 85,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,609 : 147,133.38 = 61,897 : x
  2. Step 2: Convert to fraction form
    106,609/147,133.38 = 61,897/x
  3. Step 3: Cross multiply
    106,609x = 147,133.38 × 61,897
  4. Step 4: Simplify right side
    106,609x = 9,107,114,821.86
  5. Step 5: Solve for x
    x = 9,107,114,821.86/106,609
  6. Step 6: Final answer
    x = 85,425.38

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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.