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Finding the Fourth Proportional to 54,646.40, 81,953.40 and 21,347.30

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Solution

The fourth proportional to 54,646.40, 81,953.40 and 21,347.30 is: 32,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,646.40 : 81,953.40 = 21,347.30 : x
  2. Step 2: Convert to fraction form
    54,646.40/81,953.40 = 21,347.30/x
  3. Step 3: Cross multiply
    54,646.40x = 81,953.40 × 21,347.30
  4. Step 4: Simplify right side
    54,646.40x = 1,749,483,815.82
  5. Step 5: Solve for x
    x = 1,749,483,815.82/54,646.40
  6. Step 6: Final answer
    x = 32,014.62

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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.