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Finding the Fourth Proportional to 155,772.98, 214,968.05 and 87,776.92

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Solution

The fourth proportional to 155,772.98, 214,968.05 and 87,776.92 is: 121,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,772.98 : 214,968.05 = 87,776.92 : x
  2. Step 2: Convert to fraction form
    155,772.98/214,968.05 = 87,776.92/x
  3. Step 3: Cross multiply
    155,772.98x = 214,968.05 × 87,776.92
  4. Step 4: Simplify right side
    155,772.98x = 18,869,233,009.43
  5. Step 5: Solve for x
    x = 18,869,233,009.43/155,772.98
  6. Step 6: Final answer
    x = 121,132.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.