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Finding the Fourth Proportional to 77,574.62, 116,359.61 and 21,418.16

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Solution

The fourth proportional to 77,574.62, 116,359.61 and 21,418.16 is: 32,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574.62 : 116,359.61 = 21,418.16 : x
  2. Step 2: Convert to fraction form
    77,574.62/116,359.61 = 21,418.16/x
  3. Step 3: Cross multiply
    77,574.62x = 116,359.61 × 21,418.16
  4. Step 4: Simplify right side
    77,574.62x = 2,492,208,055.63
  5. Step 5: Solve for x
    x = 2,492,208,055.63/77,574.62
  6. Step 6: Final answer
    x = 32,126.59

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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.