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Finding the Fourth Proportional to 56,965.76, 85,490.40 and 21,460.40

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Solution

The fourth proportional to 56,965.76, 85,490.40 and 21,460.40 is: 32,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,965.76 : 85,490.40 = 21,460.40 : x
  2. Step 2: Convert to fraction form
    56,965.76/85,490.40 = 21,460.40/x
  3. Step 3: Cross multiply
    56,965.76x = 85,490.40 × 21,460.40
  4. Step 4: Simplify right side
    56,965.76x = 1,834,658,180.16
  5. Step 5: Solve for x
    x = 1,834,658,180.16/56,965.76
  6. Step 6: Final answer
    x = 32,206.33

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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.