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Finding the Fourth Proportional to 171,790.87, 257,772.25 and 77,088.78

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Solution

The fourth proportional to 171,790.87, 257,772.25 and 77,088.78 is: 115,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,790.87 : 257,772.25 = 77,088.78 : x
  2. Step 2: Convert to fraction form
    171,790.87/257,772.25 = 77,088.78/x
  3. Step 3: Cross multiply
    171,790.87x = 257,772.25 × 77,088.78
  4. Step 4: Simplify right side
    171,790.87x = 19,871,348,270.36
  5. Step 5: Solve for x
    x = 19,871,348,270.36/171,790.87
  6. Step 6: Final answer
    x = 115,671.74

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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.