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Finding the Fourth Proportional to 235,739.52, 353,597.76 and 87,984

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Solution

The fourth proportional to 235,739.52, 353,597.76 and 87,984 is: 131,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,739.52 : 353,597.76 = 87,984 : x
  2. Step 2: Convert to fraction form
    235,739.52/353,597.76 = 87,984/x
  3. Step 3: Cross multiply
    235,739.52x = 353,597.76 × 87,984
  4. Step 4: Simplify right side
    235,739.52x = 31,110,945,315.84
  5. Step 5: Solve for x
    x = 31,110,945,315.84/235,739.52
  6. Step 6: Final answer
    x = 131,971.70

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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.