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Finding the Fourth Proportional to 140,813.48, 210,947.96 and 78,294.44

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Solution

The fourth proportional to 140,813.48, 210,947.96 and 78,294.44 is: 117,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,813.48 : 210,947.96 = 78,294.44 : x
  2. Step 2: Convert to fraction form
    140,813.48/210,947.96 = 78,294.44/x
  3. Step 3: Cross multiply
    140,813.48x = 210,947.96 × 78,294.44
  4. Step 4: Simplify right side
    140,813.48x = 16,516,052,397.34
  5. Step 5: Solve for x
    x = 16,516,052,397.34/140,813.48
  6. Step 6: Final answer
    x = 117,290.28

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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.