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Finding the Fourth Proportional to 77,856.64, 116,872.32 and 31,142.40

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Solution

The fourth proportional to 77,856.64, 116,872.32 and 31,142.40 is: 46,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856.64 : 116,872.32 = 31,142.40 : x
  2. Step 2: Convert to fraction form
    77,856.64/116,872.32 = 31,142.40/x
  3. Step 3: Cross multiply
    77,856.64x = 116,872.32 × 31,142.40
  4. Step 4: Simplify right side
    77,856.64x = 3,639,684,538.37
  5. Step 5: Solve for x
    x = 3,639,684,538.37/77,856.64
  6. Step 6: Final answer
    x = 46,748.54

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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.