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Finding the Fourth Proportional to 140,572.94, 210,826.28 and 51,778.22

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Solution

The fourth proportional to 140,572.94, 210,826.28 and 51,778.22 is: 77,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,572.94 : 210,826.28 = 51,778.22 : x
  2. Step 2: Convert to fraction form
    140,572.94/210,826.28 = 51,778.22/x
  3. Step 3: Cross multiply
    140,572.94x = 210,826.28 × 51,778.22
  4. Step 4: Simplify right side
    140,572.94x = 10,916,209,507.62
  5. Step 5: Solve for x
    x = 10,916,209,507.62/140,572.94
  6. Step 6: Final answer
    x = 77,655.13

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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.