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Finding the Fourth Proportional to 137,865.29, 206,818.95 and 70,360.46

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Solution

The fourth proportional to 137,865.29, 206,818.95 and 70,360.46 is: 105,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,865.29 : 206,818.95 = 70,360.46 : x
  2. Step 2: Convert to fraction form
    137,865.29/206,818.95 = 70,360.46/x
  3. Step 3: Cross multiply
    137,865.29x = 206,818.95 × 70,360.46
  4. Step 4: Simplify right side
    137,865.29x = 14,551,876,161.22
  5. Step 5: Solve for x
    x = 14,551,876,161.22/137,865.29
  6. Step 6: Final answer
    x = 105,551.41

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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.