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Finding the Fourth Proportional to 144,696.80, 217,045.20 and 102,706.40

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Solution

The fourth proportional to 144,696.80, 217,045.20 and 102,706.40 is: 154,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,696.80 : 217,045.20 = 102,706.40 : x
  2. Step 2: Convert to fraction form
    144,696.80/217,045.20 = 102,706.40/x
  3. Step 3: Cross multiply
    144,696.80x = 217,045.20 × 102,706.40
  4. Step 4: Simplify right side
    144,696.80x = 22,291,931,129.28
  5. Step 5: Solve for x
    x = 22,291,931,129.28/144,696.80
  6. Step 6: Final answer
    x = 154,059.60

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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.