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Finding the Fourth Proportional to 76,466, 114,708.72 and 21,062

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Solution

The fourth proportional to 76,466, 114,708.72 and 21,062 is: 31,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466 : 114,708.72 = 21,062 : x
  2. Step 2: Convert to fraction form
    76,466/114,708.72 = 21,062/x
  3. Step 3: Cross multiply
    76,466x = 114,708.72 × 21,062
  4. Step 4: Simplify right side
    76,466x = 2,415,995,060.64
  5. Step 5: Solve for x
    x = 2,415,995,060.64/76,466
  6. Step 6: Final answer
    x = 31,595.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.