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Finding the Fourth Proportional to 135,697.48, 203,547.53 and 51,435

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Solution

The fourth proportional to 135,697.48, 203,547.53 and 51,435 is: 77,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,697.48 : 203,547.53 = 51,435 : x
  2. Step 2: Convert to fraction form
    135,697.48/203,547.53 = 51,435/x
  3. Step 3: Cross multiply
    135,697.48x = 203,547.53 × 51,435
  4. Step 4: Simplify right side
    135,697.48x = 10,469,467,334.14
  5. Step 5: Solve for x
    x = 10,469,467,334.14/135,697.48
  6. Step 6: Final answer
    x = 77,153.00

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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.