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Finding the Fourth Proportional to 235,835.30, 353,808.30 and 78,063.75

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Solution

The fourth proportional to 235,835.30, 353,808.30 and 78,063.75 is: 117,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,835.30 : 353,808.30 = 78,063.75 : x
  2. Step 2: Convert to fraction form
    235,835.30/353,808.30 = 78,063.75/x
  3. Step 3: Cross multiply
    235,835.30x = 353,808.30 × 78,063.75
  4. Step 4: Simplify right side
    235,835.30x = 27,619,602,971.86
  5. Step 5: Solve for x
    x = 27,619,602,971.86/235,835.30
  6. Step 6: Final answer
    x = 117,113.95

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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.