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Finding the Fourth Proportional to 243,497.60, 365,275.56 and 103,238

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Solution

The fourth proportional to 243,497.60, 365,275.56 and 103,238 is: 154,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,497.60 : 365,275.56 = 103,238 : x
  2. Step 2: Convert to fraction form
    243,497.60/365,275.56 = 103,238/x
  3. Step 3: Cross multiply
    243,497.60x = 365,275.56 × 103,238
  4. Step 4: Simplify right side
    243,497.60x = 37,710,318,263.28
  5. Step 5: Solve for x
    x = 37,710,318,263.28/243,497.60
  6. Step 6: Final answer
    x = 154,869.36

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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.