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Finding the Fourth Proportional to 243,538.40, 365,308.26 and 75,053.28

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Solution

The fourth proportional to 243,538.40, 365,308.26 and 75,053.28 is: 112,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,538.40 : 365,308.26 = 75,053.28 : x
  2. Step 2: Convert to fraction form
    243,538.40/365,308.26 = 75,053.28/x
  3. Step 3: Cross multiply
    243,538.40x = 365,308.26 × 75,053.28
  4. Step 4: Simplify right side
    243,538.40x = 27,417,583,124.09
  5. Step 5: Solve for x
    x = 27,417,583,124.09/243,538.40
  6. Step 6: Final answer
    x = 112,580.12

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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.