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Finding the Fourth Proportional to 140,289, 210,434.04 and 35,107.68

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Solution

The fourth proportional to 140,289, 210,434.04 and 35,107.68 is: 52,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,289 : 210,434.04 = 35,107.68 : x
  2. Step 2: Convert to fraction form
    140,289/210,434.04 = 35,107.68/x
  3. Step 3: Cross multiply
    140,289x = 210,434.04 × 35,107.68
  4. Step 4: Simplify right side
    140,289x = 7,387,850,937.43
  5. Step 5: Solve for x
    x = 7,387,850,937.43/140,289
  6. Step 6: Final answer
    x = 52,661.66

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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.