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Finding the Fourth Proportional to 152,906.70, 228,712.05 and 137,225.10

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Solution

The fourth proportional to 152,906.70, 228,712.05 and 137,225.10 is: 205,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,906.70 : 228,712.05 = 137,225.10 : x
  2. Step 2: Convert to fraction form
    152,906.70/228,712.05 = 137,225.10/x
  3. Step 3: Cross multiply
    152,906.70x = 228,712.05 × 137,225.10
  4. Step 4: Simplify right side
    152,906.70x = 31,385,033,932.46
  5. Step 5: Solve for x
    x = 31,385,033,932.46/152,906.70
  6. Step 6: Final answer
    x = 205,256.11

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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.