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Finding the Fourth Proportional to 152,669.32, 228,806.88 and 68,367.76

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Solution

The fourth proportional to 152,669.32, 228,806.88 and 68,367.76 is: 102,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,669.32 : 228,806.88 = 68,367.76 : x
  2. Step 2: Convert to fraction form
    152,669.32/228,806.88 = 68,367.76/x
  3. Step 3: Cross multiply
    152,669.32x = 228,806.88 × 68,367.76
  4. Step 4: Simplify right side
    152,669.32x = 15,643,013,858.19
  5. Step 5: Solve for x
    x = 15,643,013,858.19/152,669.32
  6. Step 6: Final answer
    x = 102,463.38

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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.