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Finding the Fourth Proportional to 77,104.76, 115,657.18 and 21,700.76

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Solution

The fourth proportional to 77,104.76, 115,657.18 and 21,700.76 is: 32,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,104.76 : 115,657.18 = 21,700.76 : x
  2. Step 2: Convert to fraction form
    77,104.76/115,657.18 = 21,700.76/x
  3. Step 3: Cross multiply
    77,104.76x = 115,657.18 × 21,700.76
  4. Step 4: Simplify right side
    77,104.76x = 2,509,848,705.46
  5. Step 5: Solve for x
    x = 2,509,848,705.46/77,104.76
  6. Step 6: Final answer
    x = 32,551.15

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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.