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Finding the Fourth Proportional to 152,639.40, 228,980.70 and 47,447.40

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Solution

The fourth proportional to 152,639.40, 228,980.70 and 47,447.40 is: 71,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,639.40 : 228,980.70 = 47,447.40 : x
  2. Step 2: Convert to fraction form
    152,639.40/228,980.70 = 47,447.40/x
  3. Step 3: Cross multiply
    152,639.40x = 228,980.70 × 47,447.40
  4. Step 4: Simplify right side
    152,639.40x = 10,864,538,865.18
  5. Step 5: Solve for x
    x = 10,864,538,865.18/152,639.40
  6. Step 6: Final answer
    x = 71,177.81

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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.