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Finding the Fourth Proportional to 77,371.80, 116,079.30 and 37,930.20

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Solution

The fourth proportional to 77,371.80, 116,079.30 and 37,930.20 is: 56,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,371.80 : 116,079.30 = 37,930.20 : x
  2. Step 2: Convert to fraction form
    77,371.80/116,079.30 = 37,930.20/x
  3. Step 3: Cross multiply
    77,371.80x = 116,079.30 × 37,930.20
  4. Step 4: Simplify right side
    77,371.80x = 4,402,911,064.86
  5. Step 5: Solve for x
    x = 4,402,911,064.86/77,371.80
  6. Step 6: Final answer
    x = 56,905.89

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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.