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Finding the Fourth Proportional to 86,810.56, 119,801.10 and 49,084

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Solution

The fourth proportional to 86,810.56, 119,801.10 and 49,084 is: 67,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,810.56 : 119,801.10 = 49,084 : x
  2. Step 2: Convert to fraction form
    86,810.56/119,801.10 = 49,084/x
  3. Step 3: Cross multiply
    86,810.56x = 119,801.10 × 49,084
  4. Step 4: Simplify right side
    86,810.56x = 5,880,317,192.40
  5. Step 5: Solve for x
    x = 5,880,317,192.40/86,810.56
  6. Step 6: Final answer
    x = 67,737.35

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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.