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Finding the Fourth Proportional to 102,806.76, 141,938.66 and 78,888.04

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Solution

The fourth proportional to 102,806.76, 141,938.66 and 78,888.04 is: 108,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,806.76 : 141,938.66 = 78,888.04 : x
  2. Step 2: Convert to fraction form
    102,806.76/141,938.66 = 78,888.04/x
  3. Step 3: Cross multiply
    102,806.76x = 141,938.66 × 78,888.04
  4. Step 4: Simplify right side
    102,806.76x = 11,197,262,687.63
  5. Step 5: Solve for x
    x = 11,197,262,687.63/102,806.76
  6. Step 6: Final answer
    x = 108,915.63

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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.