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Finding the Fourth Proportional to 118,878.71, 178,345.40 and 38,919.25

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Solution

The fourth proportional to 118,878.71, 178,345.40 and 38,919.25 is: 58,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,878.71 : 178,345.40 = 38,919.25 : x
  2. Step 2: Convert to fraction form
    118,878.71/178,345.40 = 38,919.25/x
  3. Step 3: Cross multiply
    118,878.71x = 178,345.40 × 38,919.25
  4. Step 4: Simplify right side
    118,878.71x = 6,941,069,208.95
  5. Step 5: Solve for x
    x = 6,941,069,208.95/118,878.71
  6. Step 6: Final answer
    x = 58,387.82

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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.