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Finding the Fourth Proportional to 149,066.38, 205,779.72 and 100,090

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Solution

The fourth proportional to 149,066.38, 205,779.72 and 100,090 is: 138,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,066.38 : 205,779.72 = 100,090 : x
  2. Step 2: Convert to fraction form
    149,066.38/205,779.72 = 100,090/x
  3. Step 3: Cross multiply
    149,066.38x = 205,779.72 × 100,090
  4. Step 4: Simplify right side
    149,066.38x = 20,596,492,174.80
  5. Step 5: Solve for x
    x = 20,596,492,174.80/149,066.38
  6. Step 6: Final answer
    x = 138,169.94

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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.