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Finding the Fourth Proportional to 78,472, 108,283.28 and 46,634.76

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Solution

The fourth proportional to 78,472, 108,283.28 and 46,634.76 is: 64,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472 : 108,283.28 = 46,634.76 : x
  2. Step 2: Convert to fraction form
    78,472/108,283.28 = 46,634.76/x
  3. Step 3: Cross multiply
    78,472x = 108,283.28 × 46,634.76
  4. Step 4: Simplify right side
    78,472x = 5,049,764,774.81
  5. Step 5: Solve for x
    x = 5,049,764,774.81/78,472
  6. Step 6: Final answer
    x = 64,351.17

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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.