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Finding the Fourth Proportional to 171,038.94, 256,558.95 and 100,869

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Solution

The fourth proportional to 171,038.94, 256,558.95 and 100,869 is: 151,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,038.94 : 256,558.95 = 100,869 : x
  2. Step 2: Convert to fraction form
    171,038.94/256,558.95 = 100,869/x
  3. Step 3: Cross multiply
    171,038.94x = 256,558.95 × 100,869
  4. Step 4: Simplify right side
    171,038.94x = 25,878,844,727.55
  5. Step 5: Solve for x
    x = 25,878,844,727.55/171,038.94
  6. Step 6: Final answer
    x = 151,303.82

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1.5x scale

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.