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Finding the Fourth Proportional to 77,506.79, 116,286.05 and 30,123.39

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Solution

The fourth proportional to 77,506.79, 116,286.05 and 30,123.39 is: 45,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,506.79 : 116,286.05 = 30,123.39 : x
  2. Step 2: Convert to fraction form
    77,506.79/116,286.05 = 30,123.39/x
  3. Step 3: Cross multiply
    77,506.79x = 116,286.05 × 30,123.39
  4. Step 4: Simplify right side
    77,506.79x = 3,502,930,547.09
  5. Step 5: Solve for x
    x = 3,502,930,547.09/77,506.79
  6. Step 6: Final answer
    x = 45,195.15

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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.