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Finding the Fourth Proportional to 77,612.59, 116,419.61 and 30,877.39

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Solution

The fourth proportional to 77,612.59, 116,419.61 and 30,877.39 is: 46,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,612.59 : 116,419.61 = 30,877.39 : x
  2. Step 2: Convert to fraction form
    77,612.59/116,419.61 = 30,877.39/x
  3. Step 3: Cross multiply
    77,612.59x = 116,419.61 × 30,877.39
  4. Step 4: Simplify right side
    77,612.59x = 3,594,733,701.62
  5. Step 5: Solve for x
    x = 3,594,733,701.62/77,612.59
  6. Step 6: Final answer
    x = 46,316.37

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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.