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Finding the Fourth Proportional to 103,896.41, 155,721.54 and 47,689.16

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Solution

The fourth proportional to 103,896.41, 155,721.54 and 47,689.16 is: 71,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896.41 : 155,721.54 = 47,689.16 : x
  2. Step 2: Convert to fraction form
    103,896.41/155,721.54 = 47,689.16/x
  3. Step 3: Cross multiply
    103,896.41x = 155,721.54 × 47,689.16
  4. Step 4: Simplify right side
    103,896.41x = 7,426,229,436.51
  5. Step 5: Solve for x
    x = 7,426,229,436.51/103,896.41
  6. Step 6: Final answer
    x = 71,477.25

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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.