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Finding the Fourth Proportional to 78,911.64, 108,869.76 and 46,639.48

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Solution

The fourth proportional to 78,911.64, 108,869.76 and 46,639.48 is: 64,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,911.64 : 108,869.76 = 46,639.48 : x
  2. Step 2: Convert to fraction form
    78,911.64/108,869.76 = 46,639.48/x
  3. Step 3: Cross multiply
    78,911.64x = 108,869.76 × 46,639.48
  4. Step 4: Simplify right side
    78,911.64x = 5,077,629,441.20
  5. Step 5: Solve for x
    x = 5,077,629,441.20/78,911.64
  6. Step 6: Final answer
    x = 64,345.76

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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.