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Finding the Fourth Proportional to 235,699.76, 353,615.64 and 78,039.20

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Solution

The fourth proportional to 235,699.76, 353,615.64 and 78,039.20 is: 117,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,699.76 : 353,615.64 = 78,039.20 : x
  2. Step 2: Convert to fraction form
    235,699.76/353,615.64 = 78,039.20/x
  3. Step 3: Cross multiply
    235,699.76x = 353,615.64 × 78,039.20
  4. Step 4: Simplify right side
    235,699.76x = 27,595,881,653.09
  5. Step 5: Solve for x
    x = 27,595,881,653.09/235,699.76
  6. Step 6: Final answer
    x = 117,080.65

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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.