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Finding the Fourth Proportional to 140,104.30, 210,010.65 and 76,827.10

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Solution

The fourth proportional to 140,104.30, 210,010.65 and 76,827.10 is: 115,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,104.30 : 210,010.65 = 76,827.10 : x
  2. Step 2: Convert to fraction form
    140,104.30/210,010.65 = 76,827.10/x
  3. Step 3: Cross multiply
    140,104.30x = 210,010.65 × 76,827.10
  4. Step 4: Simplify right side
    140,104.30x = 16,134,509,208.62
  5. Step 5: Solve for x
    x = 16,134,509,208.62/140,104.30
  6. Step 6: Final answer
    x = 115,160.70

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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.