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Finding the Fourth Proportional to 77,574.57, 116,359.53 and 21,418.11

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Solution

The fourth proportional to 77,574.57, 116,359.53 and 21,418.11 is: 32,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574.57 : 116,359.53 = 21,418.11 : x
  2. Step 2: Convert to fraction form
    77,574.57/116,359.53 = 21,418.11/x
  3. Step 3: Cross multiply
    77,574.57x = 116,359.53 × 21,418.11
  4. Step 4: Simplify right side
    77,574.57x = 2,492,201,293.41
  5. Step 5: Solve for x
    x = 2,492,201,293.41/77,574.57
  6. Step 6: Final answer
    x = 32,126.52

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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.