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Finding the Fourth Proportional to 172,091.64, 257,801.40 and 112,747.08

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Solution

The fourth proportional to 172,091.64, 257,801.40 and 112,747.08 is: 168,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,091.64 : 257,801.40 = 112,747.08 : x
  2. Step 2: Convert to fraction form
    172,091.64/257,801.40 = 112,747.08/x
  3. Step 3: Cross multiply
    172,091.64x = 257,801.40 × 112,747.08
  4. Step 4: Simplify right side
    172,091.64x = 29,066,355,069.91
  5. Step 5: Solve for x
    x = 29,066,355,069.91/172,091.64
  6. Step 6: Final answer
    x = 168,900.45

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1.5x scale

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.