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Finding the Fourth Proportional to 78,095.16, 107,690.78 and 66,802.04

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Solution

The fourth proportional to 78,095.16, 107,690.78 and 66,802.04 is: 92,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,095.16 : 107,690.78 = 66,802.04 : x
  2. Step 2: Convert to fraction form
    78,095.16/107,690.78 = 66,802.04/x
  3. Step 3: Cross multiply
    78,095.16x = 107,690.78 × 66,802.04
  4. Step 4: Simplify right side
    78,095.16x = 7,193,962,920.73
  5. Step 5: Solve for x
    x = 7,193,962,920.73/78,095.16
  6. Step 6: Final answer
    x = 92,117.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.