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Finding the Fourth Proportional to 76,677.68, 114,976.20 and 45,097.40

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Solution

The fourth proportional to 76,677.68, 114,976.20 and 45,097.40 is: 67,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.68 : 114,976.20 = 45,097.40 : x
  2. Step 2: Convert to fraction form
    76,677.68/114,976.20 = 45,097.40/x
  3. Step 3: Cross multiply
    76,677.68x = 114,976.20 × 45,097.40
  4. Step 4: Simplify right side
    76,677.68x = 5,185,127,681.88
  5. Step 5: Solve for x
    x = 5,185,127,681.88/76,677.68
  6. Step 6: Final answer
    x = 67,622.39

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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.