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Finding the Fourth Proportional to 235,748.56, 325,442.72 and 138,922

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Solution

The fourth proportional to 235,748.56, 325,442.72 and 138,922 is: 191,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,748.56 : 325,442.72 = 138,922 : x
  2. Step 2: Convert to fraction form
    235,748.56/325,442.72 = 138,922/x
  3. Step 3: Cross multiply
    235,748.56x = 325,442.72 × 138,922
  4. Step 4: Simplify right side
    235,748.56x = 45,211,153,547.84
  5. Step 5: Solve for x
    x = 45,211,153,547.84/235,748.56
  6. Step 6: Final answer
    x = 191,777.01

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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.