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Finding the Fourth Proportional to 102,916.80, 154,072.80 and 76,737.60

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Solution

The fourth proportional to 102,916.80, 154,072.80 and 76,737.60 is: 114,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,916.80 : 154,072.80 = 76,737.60 : x
  2. Step 2: Convert to fraction form
    102,916.80/154,072.80 = 76,737.60/x
  3. Step 3: Cross multiply
    102,916.80x = 154,072.80 × 76,737.60
  4. Step 4: Simplify right side
    102,916.80x = 11,823,176,897.28
  5. Step 5: Solve for x
    x = 11,823,176,897.28/102,916.80
  6. Step 6: Final answer
    x = 114,880.92

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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.