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Finding the Fourth Proportional to 106,541.30, 147,021.98 and 61,187.30

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Solution

The fourth proportional to 106,541.30, 147,021.98 and 61,187.30 is: 84,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,541.30 : 147,021.98 = 61,187.30 : x
  2. Step 2: Convert to fraction form
    106,541.30/147,021.98 = 61,187.30/x
  3. Step 3: Cross multiply
    106,541.30x = 147,021.98 × 61,187.30
  4. Step 4: Simplify right side
    106,541.30x = 8,995,877,996.85
  5. Step 5: Solve for x
    x = 8,995,877,996.85/106,541.30
  6. Step 6: Final answer
    x = 84,435.59

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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.