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Finding the Fourth Proportional to 77,855.16, 116,782.81 and 21,695.43

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Solution

The fourth proportional to 77,855.16, 116,782.81 and 21,695.43 is: 32,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,855.16 : 116,782.81 = 21,695.43 : x
  2. Step 2: Convert to fraction form
    77,855.16/116,782.81 = 21,695.43/x
  3. Step 3: Cross multiply
    77,855.16x = 116,782.81 × 21,695.43
  4. Step 4: Simplify right side
    77,855.16x = 2,533,653,279.56
  5. Step 5: Solve for x
    x = 2,533,653,279.56/77,855.16
  6. Step 6: Final answer
    x = 32,543.16

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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.