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Finding the Fourth Proportional to 77,312.43, 116,017.92 and 76,679.64

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Solution

The fourth proportional to 77,312.43, 116,017.92 and 76,679.64 is: 115,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,312.43 : 116,017.92 = 76,679.64 : x
  2. Step 2: Convert to fraction form
    77,312.43/116,017.92 = 76,679.64/x
  3. Step 3: Cross multiply
    77,312.43x = 116,017.92 × 76,679.64
  4. Step 4: Simplify right side
    77,312.43x = 8,896,212,339.15
  5. Step 5: Solve for x
    x = 8,896,212,339.15/77,312.43
  6. Step 6: Final answer
    x = 115,068.33

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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.