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Finding the Fourth Proportional to 140,420.70, 210,631.05 and 105,428.70

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Solution

The fourth proportional to 140,420.70, 210,631.05 and 105,428.70 is: 158,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,420.70 : 210,631.05 = 105,428.70 : x
  2. Step 2: Convert to fraction form
    140,420.70/210,631.05 = 105,428.70/x
  3. Step 3: Cross multiply
    140,420.70x = 210,631.05 × 105,428.70
  4. Step 4: Simplify right side
    140,420.70x = 22,206,557,781.14
  5. Step 5: Solve for x
    x = 22,206,557,781.14/140,420.70
  6. Step 6: Final answer
    x = 158,143.05

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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.