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Finding the Fourth Proportional to 106,461.57, 146,920.25 and 61,148.64

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Solution

The fourth proportional to 106,461.57, 146,920.25 and 61,148.64 is: 84,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461.57 : 146,920.25 = 61,148.64 : x
  2. Step 2: Convert to fraction form
    106,461.57/146,920.25 = 61,148.64/x
  3. Step 3: Cross multiply
    106,461.57x = 146,920.25 × 61,148.64
  4. Step 4: Simplify right side
    106,461.57x = 8,983,973,170.22
  5. Step 5: Solve for x
    x = 8,983,973,170.22/106,461.57
  6. Step 6: Final answer
    x = 84,387.01

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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.