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Finding the Fourth Proportional to 68,765.83, 103,184.28 and 29,312.35

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Solution

The fourth proportional to 68,765.83, 103,184.28 and 29,312.35 is: 43,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,765.83 : 103,184.28 = 29,312.35 : x
  2. Step 2: Convert to fraction form
    68,765.83/103,184.28 = 29,312.35/x
  3. Step 3: Cross multiply
    68,765.83x = 103,184.28 × 29,312.35
  4. Step 4: Simplify right side
    68,765.83x = 3,024,573,471.90
  5. Step 5: Solve for x
    x = 3,024,573,471.90/68,765.83
  6. Step 6: Final answer
    x = 43,983.67

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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.