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Finding the Fourth Proportional to 76,716.40, 115,073.52 and 21,312.40

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Solution

The fourth proportional to 76,716.40, 115,073.52 and 21,312.40 is: 31,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716.40 : 115,073.52 = 21,312.40 : x
  2. Step 2: Convert to fraction form
    76,716.40/115,073.52 = 21,312.40/x
  3. Step 3: Cross multiply
    76,716.40x = 115,073.52 × 21,312.40
  4. Step 4: Simplify right side
    76,716.40x = 2,452,492,887.65
  5. Step 5: Solve for x
    x = 2,452,492,887.65/76,716.40
  6. Step 6: Final answer
    x = 31,968.30

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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.