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Finding the Fourth Proportional to 57,642.98, 86,460.98 and 21,612.32

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Solution

The fourth proportional to 57,642.98, 86,460.98 and 21,612.32 is: 32,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.98 : 86,460.98 = 21,612.32 : x
  2. Step 2: Convert to fraction form
    57,642.98/86,460.98 = 21,612.32/x
  3. Step 3: Cross multiply
    57,642.98x = 86,460.98 × 21,612.32
  4. Step 4: Simplify right side
    57,642.98x = 1,868,622,475.36
  5. Step 5: Solve for x
    x = 1,868,622,475.36/57,642.98
  6. Step 6: Final answer
    x = 32,417.17

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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.