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Finding the Fourth Proportional to 136,997.60, 205,476.81 and 47,038.63

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Solution

The fourth proportional to 136,997.60, 205,476.81 and 47,038.63 is: 70,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,997.60 : 205,476.81 = 47,038.63 : x
  2. Step 2: Convert to fraction form
    136,997.60/205,476.81 = 47,038.63/x
  3. Step 3: Cross multiply
    136,997.60x = 205,476.81 × 47,038.63
  4. Step 4: Simplify right side
    136,997.60x = 9,665,346,890.29
  5. Step 5: Solve for x
    x = 9,665,346,890.29/136,997.60
  6. Step 6: Final answer
    x = 70,551.21

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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.