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Finding the Fourth Proportional to 86,656, 119,585.28 and 46,912

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Solution

The fourth proportional to 86,656, 119,585.28 and 46,912 is: 64,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,656 : 119,585.28 = 46,912 : x
  2. Step 2: Convert to fraction form
    86,656/119,585.28 = 46,912/x
  3. Step 3: Cross multiply
    86,656x = 119,585.28 × 46,912
  4. Step 4: Simplify right side
    86,656x = 5,609,984,655.36
  5. Step 5: Solve for x
    x = 5,609,984,655.36/86,656
  6. Step 6: Final answer
    x = 64,738.56

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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.