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Finding the Fourth Proportional to 171,056.90, 256,412.55 and 77,629.70

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Solution

The fourth proportional to 171,056.90, 256,412.55 and 77,629.70 is: 116,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,056.90 : 256,412.55 = 77,629.70 : x
  2. Step 2: Convert to fraction form
    171,056.90/256,412.55 = 77,629.70/x
  3. Step 3: Cross multiply
    171,056.90x = 256,412.55 × 77,629.70
  4. Step 4: Simplify right side
    171,056.90x = 19,905,229,332.74
  5. Step 5: Solve for x
    x = 19,905,229,332.74/171,056.90
  6. Step 6: Final answer
    x = 116,366.13

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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.