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Finding the Fourth Proportional to 118,670.24, 178,005.36 and 48,521

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Solution

The fourth proportional to 118,670.24, 178,005.36 and 48,521 is: 72,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,670.24 : 178,005.36 = 48,521 : x
  2. Step 2: Convert to fraction form
    118,670.24/178,005.36 = 48,521/x
  3. Step 3: Cross multiply
    118,670.24x = 178,005.36 × 48,521
  4. Step 4: Simplify right side
    118,670.24x = 8,636,998,072.56
  5. Step 5: Solve for x
    x = 8,636,998,072.56/118,670.24
  6. Step 6: Final answer
    x = 72,781.50

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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.