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Finding the Fourth Proportional to 104,253.84, 143,866.80 and 61,787.16

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Solution

The fourth proportional to 104,253.84, 143,866.80 and 61,787.16 is: 85,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,253.84 : 143,866.80 = 61,787.16 : x
  2. Step 2: Convert to fraction form
    104,253.84/143,866.80 = 61,787.16/x
  3. Step 3: Cross multiply
    104,253.84x = 143,866.80 × 61,787.16
  4. Step 4: Simplify right side
    104,253.84x = 8,889,120,990.29
  5. Step 5: Solve for x
    x = 8,889,120,990.29/104,253.84
  6. Step 6: Final answer
    x = 85,264.21

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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.