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Finding the Fourth Proportional to 171,254.80, 256,805.40 and 77,712.40

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Solution

The fourth proportional to 171,254.80, 256,805.40 and 77,712.40 is: 116,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,254.80 : 256,805.40 = 77,712.40 : x
  2. Step 2: Convert to fraction form
    171,254.80/256,805.40 = 77,712.40/x
  3. Step 3: Cross multiply
    171,254.80x = 256,805.40 × 77,712.40
  4. Step 4: Simplify right side
    171,254.80x = 19,956,963,966.96
  5. Step 5: Solve for x
    x = 19,956,963,966.96/171,254.80
  6. Step 6: Final answer
    x = 116,533.75

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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.