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Finding the Fourth Proportional to 149,779.10, 206,696.80 and 81,798.08

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Solution

The fourth proportional to 149,779.10, 206,696.80 and 81,798.08 is: 112,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,779.10 : 206,696.80 = 81,798.08 : x
  2. Step 2: Convert to fraction form
    149,779.10/206,696.80 = 81,798.08/x
  3. Step 3: Cross multiply
    149,779.10x = 206,696.80 × 81,798.08
  4. Step 4: Simplify right side
    149,779.10x = 16,907,400,765.53
  5. Step 5: Solve for x
    x = 16,907,400,765.53/149,779.10
  6. Step 6: Final answer
    x = 112,882.24

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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.