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Finding the Fourth Proportional to 243,289.50, 365,130.81 and 103,146.54

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Solution

The fourth proportional to 243,289.50, 365,130.81 and 103,146.54 is: 154,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,289.50 : 365,130.81 = 103,146.54 : x
  2. Step 2: Convert to fraction form
    243,289.50/365,130.81 = 103,146.54/x
  3. Step 3: Cross multiply
    243,289.50x = 365,130.81 × 103,146.54
  4. Step 4: Simplify right side
    243,289.50x = 37,661,979,698.90
  5. Step 5: Solve for x
    x = 37,661,979,698.90/243,289.50
  6. Step 6: Final answer
    x = 154,803.14

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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.