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Finding the Fourth Proportional to 152,615.40, 228,944.70 and 47,423.40

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Solution

The fourth proportional to 152,615.40, 228,944.70 and 47,423.40 is: 71,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,615.40 : 228,944.70 = 47,423.40 : x
  2. Step 2: Convert to fraction form
    152,615.40/228,944.70 = 47,423.40/x
  3. Step 3: Cross multiply
    152,615.40x = 228,944.70 × 47,423.40
  4. Step 4: Simplify right side
    152,615.40x = 10,857,336,085.98
  5. Step 5: Solve for x
    x = 10,857,336,085.98/152,615.40
  6. Step 6: Final answer
    x = 71,141.81

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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.