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Finding the Fourth Proportional to 138,459.30, 191,074 and 74,797.09

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Solution

The fourth proportional to 138,459.30, 191,074 and 74,797.09 is: 103,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,459.30 : 191,074 = 74,797.09 : x
  2. Step 2: Convert to fraction form
    138,459.30/191,074 = 74,797.09/x
  3. Step 3: Cross multiply
    138,459.30x = 191,074 × 74,797.09
  4. Step 4: Simplify right side
    138,459.30x = 14,291,779,174.66
  5. Step 5: Solve for x
    x = 14,291,779,174.66/138,459.30
  6. Step 6: Final answer
    x = 103,220.07

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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.