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Finding the Fourth Proportional to 76,464, 114,705.72 and 21,060

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Solution

The fourth proportional to 76,464, 114,705.72 and 21,060 is: 31,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 114,705.72 = 21,060 : x
  2. Step 2: Convert to fraction form
    76,464/114,705.72 = 21,060/x
  3. Step 3: Cross multiply
    76,464x = 114,705.72 × 21,060
  4. Step 4: Simplify right side
    76,464x = 2,415,702,463.20
  5. Step 5: Solve for x
    x = 2,415,702,463.20/76,464
  6. Step 6: Final answer
    x = 31,592.68

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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.