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Finding the Fourth Proportional to 124,141.56, 186,212.40 and 30,647.40

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Solution

The fourth proportional to 124,141.56, 186,212.40 and 30,647.40 is: 45,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,141.56 : 186,212.40 = 30,647.40 : x
  2. Step 2: Convert to fraction form
    124,141.56/186,212.40 = 30,647.40/x
  3. Step 3: Cross multiply
    124,141.56x = 186,212.40 × 30,647.40
  4. Step 4: Simplify right side
    124,141.56x = 5,706,925,907.76
  5. Step 5: Solve for x
    x = 5,706,925,907.76/124,141.56
  6. Step 6: Final answer
    x = 45,971.11

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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.