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Finding the Fourth Proportional to 118,784.82, 177,987.69 and 87,047.81

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Solution

The fourth proportional to 118,784.82, 177,987.69 and 87,047.81 is: 130,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,784.82 : 177,987.69 = 87,047.81 : x
  2. Step 2: Convert to fraction form
    118,784.82/177,987.69 = 87,047.81/x
  3. Step 3: Cross multiply
    118,784.82x = 177,987.69 × 87,047.81
  4. Step 4: Simplify right side
    118,784.82x = 15,493,437,731.52
  5. Step 5: Solve for x
    x = 15,493,437,731.52/118,784.82
  6. Step 6: Final answer
    x = 130,432.81

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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.