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Finding the Fourth Proportional to 155,646.72, 214,780.32 and 87,660

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Solution

The fourth proportional to 155,646.72, 214,780.32 and 87,660 is: 120,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,646.72 : 214,780.32 = 87,660 : x
  2. Step 2: Convert to fraction form
    155,646.72/214,780.32 = 87,660/x
  3. Step 3: Cross multiply
    155,646.72x = 214,780.32 × 87,660
  4. Step 4: Simplify right side
    155,646.72x = 18,827,642,851.20
  5. Step 5: Solve for x
    x = 18,827,642,851.20/155,646.72
  6. Step 6: Final answer
    x = 120,963.96

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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.