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Finding the Fourth Proportional to 235,638.64, 353,523.84 and 77,978.08

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Solution

The fourth proportional to 235,638.64, 353,523.84 and 77,978.08 is: 116,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,638.64 : 353,523.84 = 77,978.08 : x
  2. Step 2: Convert to fraction form
    235,638.64/353,523.84 = 77,978.08/x
  3. Step 3: Cross multiply
    235,638.64x = 353,523.84 × 77,978.08
  4. Step 4: Simplify right side
    235,638.64x = 27,567,110,277.43
  5. Step 5: Solve for x
    x = 27,567,110,277.43/235,638.64
  6. Step 6: Final answer
    x = 116,988.92

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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.