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Finding the Fourth Proportional to 152,381.80, 228,054.30 and 133,719.40

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Solution

The fourth proportional to 152,381.80, 228,054.30 and 133,719.40 is: 200,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,381.80 : 228,054.30 = 133,719.40 : x
  2. Step 2: Convert to fraction form
    152,381.80/228,054.30 = 133,719.40/x
  3. Step 3: Cross multiply
    152,381.80x = 228,054.30 × 133,719.40
  4. Step 4: Simplify right side
    152,381.80x = 30,495,284,163.42
  5. Step 5: Solve for x
    x = 30,495,284,163.42/152,381.80
  6. Step 6: Final answer
    x = 200,124.19

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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.