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Finding the Fourth Proportional to 160,691.94, 221,762.16 and 91,787.46

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Solution

The fourth proportional to 160,691.94, 221,762.16 and 91,787.46 is: 126,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,691.94 : 221,762.16 = 91,787.46 : x
  2. Step 2: Convert to fraction form
    160,691.94/221,762.16 = 91,787.46/x
  3. Step 3: Cross multiply
    160,691.94x = 221,762.16 × 91,787.46
  4. Step 4: Simplify right side
    160,691.94x = 20,354,985,390.51
  5. Step 5: Solve for x
    x = 20,354,985,390.51/160,691.94
  6. Step 6: Final answer
    x = 126,670.85

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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.