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Finding the Fourth Proportional to 172,079.64, 257,783.40 and 112,735.08

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Solution

The fourth proportional to 172,079.64, 257,783.40 and 112,735.08 is: 168,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,079.64 : 257,783.40 = 112,735.08 : x
  2. Step 2: Convert to fraction form
    172,079.64/257,783.40 = 112,735.08/x
  3. Step 3: Cross multiply
    172,079.64x = 257,783.40 × 112,735.08
  4. Step 4: Simplify right side
    172,079.64x = 29,061,232,221.67
  5. Step 5: Solve for x
    x = 29,061,232,221.67/172,079.64
  6. Step 6: Final answer
    x = 168,882.46

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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.