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Finding the Fourth Proportional to 124,089, 186,195 and 49,207.50

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Solution

The fourth proportional to 124,089, 186,195 and 49,207.50 is: 73,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,089 : 186,195 = 49,207.50 : x
  2. Step 2: Convert to fraction form
    124,089/186,195 = 49,207.50/x
  3. Step 3: Cross multiply
    124,089x = 186,195 × 49,207.50
  4. Step 4: Simplify right side
    124,089x = 9,162,190,462.50
  5. Step 5: Solve for x
    x = 9,162,190,462.50/124,089
  6. Step 6: Final answer
    x = 73,835.64

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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.