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Finding the Fourth Proportional to 77,663.66, 116,539.74 and 30,272.58

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Solution

The fourth proportional to 77,663.66, 116,539.74 and 30,272.58 is: 45,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,663.66 : 116,539.74 = 30,272.58 : x
  2. Step 2: Convert to fraction form
    77,663.66/116,539.74 = 30,272.58/x
  3. Step 3: Cross multiply
    77,663.66x = 116,539.74 × 30,272.58
  4. Step 4: Simplify right side
    77,663.66x = 3,527,958,602.33
  5. Step 5: Solve for x
    x = 3,527,958,602.33/77,663.66
  6. Step 6: Final answer
    x = 45,426.12

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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.