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Finding the Fourth Proportional to 235,849.40, 353,774.10 and 78,102.20

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Solution

The fourth proportional to 235,849.40, 353,774.10 and 78,102.20 is: 117,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,849.40 : 353,774.10 = 78,102.20 : x
  2. Step 2: Convert to fraction form
    235,849.40/353,774.10 = 78,102.20/x
  3. Step 3: Cross multiply
    235,849.40x = 353,774.10 × 78,102.20
  4. Step 4: Simplify right side
    235,849.40x = 27,630,535,513.02
  5. Step 5: Solve for x
    x = 27,630,535,513.02/235,849.40
  6. Step 6: Final answer
    x = 117,153.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.