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Finding the Fourth Proportional to 76,966.74, 106,186.01 and 45,129.47

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Solution

The fourth proportional to 76,966.74, 106,186.01 and 45,129.47 is: 62,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,966.74 : 106,186.01 = 45,129.47 : x
  2. Step 2: Convert to fraction form
    76,966.74/106,186.01 = 45,129.47/x
  3. Step 3: Cross multiply
    76,966.74x = 106,186.01 × 45,129.47
  4. Step 4: Simplify right side
    76,966.74x = 4,792,117,596.14
  5. Step 5: Solve for x
    x = 4,792,117,596.14/76,966.74
  6. Step 6: Final answer
    x = 62,262.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.