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Finding the Fourth Proportional to 152,019.68, 228,078.74 and 73,123.64

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Solution

The fourth proportional to 152,019.68, 228,078.74 and 73,123.64 is: 109,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,019.68 : 228,078.74 = 73,123.64 : x
  2. Step 2: Convert to fraction form
    152,019.68/228,078.74 = 73,123.64/x
  3. Step 3: Cross multiply
    152,019.68x = 228,078.74 × 73,123.64
  4. Step 4: Simplify right side
    152,019.68x = 16,677,947,675.41
  5. Step 5: Solve for x
    x = 16,677,947,675.41/152,019.68
  6. Step 6: Final answer
    x = 109,709.14

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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.