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Finding the Fourth Proportional to 118,975.94, 178,225.92 and 71,564.87

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Solution

The fourth proportional to 118,975.94, 178,225.92 and 71,564.87 is: 107,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,975.94 : 178,225.92 = 71,564.87 : x
  2. Step 2: Convert to fraction form
    118,975.94/178,225.92 = 71,564.87/x
  3. Step 3: Cross multiply
    118,975.94x = 178,225.92 × 71,564.87
  4. Step 4: Simplify right side
    118,975.94x = 12,754,714,238.47
  5. Step 5: Solve for x
    x = 12,754,714,238.47/118,975.94
  6. Step 6: Final answer
    x = 107,204.15

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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.