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Finding the Fourth Proportional to 118,869.78, 178,239.02 and 48,798.30

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Solution

The fourth proportional to 118,869.78, 178,239.02 and 48,798.30 is: 73,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,869.78 : 178,239.02 = 48,798.30 : x
  2. Step 2: Convert to fraction form
    118,869.78/178,239.02 = 48,798.30/x
  3. Step 3: Cross multiply
    118,869.78x = 178,239.02 × 48,798.30
  4. Step 4: Simplify right side
    118,869.78x = 8,697,761,169.67
  5. Step 5: Solve for x
    x = 8,697,761,169.67/118,869.78
  6. Step 6: Final answer
    x = 73,170.50

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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.