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Finding the Fourth Proportional to 106,689.60, 147,235.88 and 61,367.54

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Solution

The fourth proportional to 106,689.60, 147,235.88 and 61,367.54 is: 84,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,689.60 : 147,235.88 = 61,367.54 : x
  2. Step 2: Convert to fraction form
    106,689.60/147,235.88 = 61,367.54/x
  3. Step 3: Cross multiply
    106,689.60x = 147,235.88 × 61,367.54
  4. Step 4: Simplify right side
    106,689.60x = 9,035,503,755.34
  5. Step 5: Solve for x
    x = 9,035,503,755.34/106,689.60
  6. Step 6: Final answer
    x = 84,689.64

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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.