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Finding the Fourth Proportional to 160,678.64, 221,807.16 and 112,469.91

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Solution

The fourth proportional to 160,678.64, 221,807.16 and 112,469.91 is: 155,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,678.64 : 221,807.16 = 112,469.91 : x
  2. Step 2: Convert to fraction form
    160,678.64/221,807.16 = 112,469.91/x
  3. Step 3: Cross multiply
    160,678.64x = 221,807.16 × 112,469.91
  4. Step 4: Simplify right side
    160,678.64x = 24,946,631,322.56
  5. Step 5: Solve for x
    x = 24,946,631,322.56/160,678.64
  6. Step 6: Final answer
    x = 155,257.92

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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.