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Finding the Fourth Proportional to 140,646.75, 210,970.13 and 42,150.75

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Solution

The fourth proportional to 140,646.75, 210,970.13 and 42,150.75 is: 63,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646.75 : 210,970.13 = 42,150.75 : x
  2. Step 2: Convert to fraction form
    140,646.75/210,970.13 = 42,150.75/x
  3. Step 3: Cross multiply
    140,646.75x = 210,970.13 × 42,150.75
  4. Step 4: Simplify right side
    140,646.75x = 8,892,548,996.34
  5. Step 5: Solve for x
    x = 8,892,548,996.34/140,646.75
  6. Step 6: Final answer
    x = 63,226.13

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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.