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Finding the Fourth Proportional to 118,877.71, 178,343.90 and 38,918.25

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Solution

The fourth proportional to 118,877.71, 178,343.90 and 38,918.25 is: 58,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,877.71 : 178,343.90 = 38,918.25 : x
  2. Step 2: Convert to fraction form
    118,877.71/178,343.90 = 38,918.25/x
  3. Step 3: Cross multiply
    118,877.71x = 178,343.90 × 38,918.25
  4. Step 4: Simplify right side
    118,877.71x = 6,940,833,050.84
  5. Step 5: Solve for x
    x = 6,940,833,050.84/118,877.71
  6. Step 6: Final answer
    x = 58,386.33

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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.