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Finding the Fourth Proportional to 77,106.82, 115,827.15 and 65,284.67

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Solution

The fourth proportional to 77,106.82, 115,827.15 and 65,284.67 is: 98,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,106.82 : 115,827.15 = 65,284.67 : x
  2. Step 2: Convert to fraction form
    77,106.82/115,827.15 = 65,284.67/x
  3. Step 3: Cross multiply
    77,106.82x = 115,827.15 × 65,284.67
  4. Step 4: Simplify right side
    77,106.82x = 7,561,737,264.79
  5. Step 5: Solve for x
    x = 7,561,737,264.79/77,106.82
  6. Step 6: Final answer
    x = 98,068.33

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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.