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Finding the Fourth Proportional to 243,496.60, 365,274.06 and 103,237

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Solution

The fourth proportional to 243,496.60, 365,274.06 and 103,237 is: 154,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,496.60 : 365,274.06 = 103,237 : x
  2. Step 2: Convert to fraction form
    243,496.60/365,274.06 = 103,237/x
  3. Step 3: Cross multiply
    243,496.60x = 365,274.06 × 103,237
  4. Step 4: Simplify right side
    243,496.60x = 37,709,798,132.22
  5. Step 5: Solve for x
    x = 37,709,798,132.22/243,496.60
  6. Step 6: Final answer
    x = 154,867.86

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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.