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Finding the Fourth Proportional to 68,718.31, 102,929.37 and 46,409.02

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Solution

The fourth proportional to 68,718.31, 102,929.37 and 46,409.02 is: 69,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,718.31 : 102,929.37 = 46,409.02 : x
  2. Step 2: Convert to fraction form
    68,718.31/102,929.37 = 46,409.02/x
  3. Step 3: Cross multiply
    68,718.31x = 102,929.37 × 46,409.02
  4. Step 4: Simplify right side
    68,718.31x = 4,776,851,190.92
  5. Step 5: Solve for x
    x = 4,776,851,190.92/68,718.31
  6. Step 6: Final answer
    x = 69,513.51

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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.