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Finding the Fourth Proportional to 102,706.60, 154,059.90 and 72,639.40

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Solution

The fourth proportional to 102,706.60, 154,059.90 and 72,639.40 is: 108,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.60 : 154,059.90 = 72,639.40 : x
  2. Step 2: Convert to fraction form
    102,706.60/154,059.90 = 72,639.40/x
  3. Step 3: Cross multiply
    102,706.60x = 154,059.90 × 72,639.40
  4. Step 4: Simplify right side
    102,706.60x = 11,190,818,700.06
  5. Step 5: Solve for x
    x = 11,190,818,700.06/102,706.60
  6. Step 6: Final answer
    x = 108,959.10

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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.