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Finding the Fourth Proportional to 106,421.53, 146,709.12 and 83,721.10

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Solution

The fourth proportional to 106,421.53, 146,709.12 and 83,721.10 is: 115,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,421.53 : 146,709.12 = 83,721.10 : x
  2. Step 2: Convert to fraction form
    106,421.53/146,709.12 = 83,721.10/x
  3. Step 3: Cross multiply
    106,421.53x = 146,709.12 × 83,721.10
  4. Step 4: Simplify right side
    106,421.53x = 12,282,648,906.43
  5. Step 5: Solve for x
    x = 12,282,648,906.43/106,421.53
  6. Step 6: Final answer
    x = 115,415.08

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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.