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Finding the Fourth Proportional to 84,030.30, 115,951.32 and 56,865.78

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Solution

The fourth proportional to 84,030.30, 115,951.32 and 56,865.78 is: 78,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,030.30 : 115,951.32 = 56,865.78 : x
  2. Step 2: Convert to fraction form
    84,030.30/115,951.32 = 56,865.78/x
  3. Step 3: Cross multiply
    84,030.30x = 115,951.32 × 56,865.78
  4. Step 4: Simplify right side
    84,030.30x = 6,593,662,253.83
  5. Step 5: Solve for x
    x = 6,593,662,253.83/84,030.30
  6. Step 6: Final answer
    x = 78,467.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.