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Finding the Fourth Proportional to 68,437.64, 102,688.95 and 47,410.04

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Solution

The fourth proportional to 68,437.64, 102,688.95 and 47,410.04 is: 71,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,437.64 : 102,688.95 = 47,410.04 : x
  2. Step 2: Convert to fraction form
    68,437.64/102,688.95 = 47,410.04/x
  3. Step 3: Cross multiply
    68,437.64x = 102,688.95 × 47,410.04
  4. Step 4: Simplify right side
    68,437.64x = 4,868,487,227.06
  5. Step 5: Solve for x
    x = 4,868,487,227.06/68,437.64
  6. Step 6: Final answer
    x = 71,137.57

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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.