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Finding the Fourth Proportional to 134,005.68, 201,037.68 and 40,509

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Solution

The fourth proportional to 134,005.68, 201,037.68 and 40,509 is: 60,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,005.68 : 201,037.68 = 40,509 : x
  2. Step 2: Convert to fraction form
    134,005.68/201,037.68 = 40,509/x
  3. Step 3: Cross multiply
    134,005.68x = 201,037.68 × 40,509
  4. Step 4: Simplify right side
    134,005.68x = 8,143,835,379.12
  5. Step 5: Solve for x
    x = 8,143,835,379.12/134,005.68
  6. Step 6: Final answer
    x = 60,772.31

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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.