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Finding the Fourth Proportional to 136,913.60, 205,376.09 and 47,018.09

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Solution

The fourth proportional to 136,913.60, 205,376.09 and 47,018.09 is: 70,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,913.60 : 205,376.09 = 47,018.09 : x
  2. Step 2: Convert to fraction form
    136,913.60/205,376.09 = 47,018.09/x
  3. Step 3: Cross multiply
    136,913.60x = 205,376.09 × 47,018.09
  4. Step 4: Simplify right side
    136,913.60x = 9,656,390,221.50
  5. Step 5: Solve for x
    x = 9,656,390,221.50/136,913.60
  6. Step 6: Final answer
    x = 70,529.08

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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.