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Finding the Fourth Proportional to 76,428, 114,648.48 and 21,024

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Solution

The fourth proportional to 76,428, 114,648.48 and 21,024 is: 31,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428 : 114,648.48 = 21,024 : x
  2. Step 2: Convert to fraction form
    76,428/114,648.48 = 21,024/x
  3. Step 3: Cross multiply
    76,428x = 114,648.48 × 21,024
  4. Step 4: Simplify right side
    76,428x = 2,410,369,643.52
  5. Step 5: Solve for x
    x = 2,410,369,643.52/76,428
  6. Step 6: Final answer
    x = 31,537.78

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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.