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Finding the Fourth Proportional to 149,156.10, 205,835.40 and 82,088.10

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Solution

The fourth proportional to 149,156.10, 205,835.40 and 82,088.10 is: 113,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,156.10 : 205,835.40 = 82,088.10 : x
  2. Step 2: Convert to fraction form
    149,156.10/205,835.40 = 82,088.10/x
  3. Step 3: Cross multiply
    149,156.10x = 205,835.40 × 82,088.10
  4. Step 4: Simplify right side
    149,156.10x = 16,896,636,898.74
  5. Step 5: Solve for x
    x = 16,896,636,898.74/149,156.10
  6. Step 6: Final answer
    x = 113,281.57

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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.