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Finding the Fourth Proportional to 160,218, 221,097.20 and 88,598.61

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Solution

The fourth proportional to 160,218, 221,097.20 and 88,598.61 is: 122,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,218 : 221,097.20 = 88,598.61 : x
  2. Step 2: Convert to fraction form
    160,218/221,097.20 = 88,598.61/x
  3. Step 3: Cross multiply
    160,218x = 221,097.20 × 88,598.61
  4. Step 4: Simplify right side
    160,218x = 19,588,904,151.90
  5. Step 5: Solve for x
    x = 19,588,904,151.90/160,218
  6. Step 6: Final answer
    x = 122,264.07

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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.