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Finding the Fourth Proportional to 137,154.67, 205,730.52 and 104,077.87

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Solution

The fourth proportional to 137,154.67, 205,730.52 and 104,077.87 is: 156,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,154.67 : 205,730.52 = 104,077.87 : x
  2. Step 2: Convert to fraction form
    137,154.67/205,730.52 = 104,077.87/x
  3. Step 3: Cross multiply
    137,154.67x = 205,730.52 × 104,077.87
  4. Step 4: Simplify right side
    137,154.67x = 21,411,994,315.59
  5. Step 5: Solve for x
    x = 21,411,994,315.59/137,154.67
  6. Step 6: Final answer
    x = 156,115.68

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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.