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Finding the Fourth Proportional to 161,504.64, 242,078.55 and 66,682.55

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Solution

The fourth proportional to 161,504.64, 242,078.55 and 66,682.55 is: 99,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,504.64 : 242,078.55 = 66,682.55 : x
  2. Step 2: Convert to fraction form
    161,504.64/242,078.55 = 66,682.55/x
  3. Step 3: Cross multiply
    161,504.64x = 242,078.55 × 66,682.55
  4. Step 4: Simplify right side
    161,504.64x = 16,142,413,803.91
  5. Step 5: Solve for x
    x = 16,142,413,803.91/161,504.64
  6. Step 6: Final answer
    x = 99,950.16

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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.