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Finding the Fourth Proportional to 56,709.64, 85,047.18 and 19,765

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Solution

The fourth proportional to 56,709.64, 85,047.18 and 19,765 is: 29,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,709.64 : 85,047.18 = 19,765 : x
  2. Step 2: Convert to fraction form
    56,709.64/85,047.18 = 19,765/x
  3. Step 3: Cross multiply
    56,709.64x = 85,047.18 × 19,765
  4. Step 4: Simplify right side
    56,709.64x = 1,680,957,512.70
  5. Step 5: Solve for x
    x = 1,680,957,512.70/56,709.64
  6. Step 6: Final answer
    x = 29,641.48

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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.