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Finding the Fourth Proportional to 256,888.75, 385,443.85 and 107,158.53

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Solution

The fourth proportional to 256,888.75, 385,443.85 and 107,158.53 is: 160,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,888.75 : 385,443.85 = 107,158.53 : x
  2. Step 2: Convert to fraction form
    256,888.75/385,443.85 = 107,158.53/x
  3. Step 3: Cross multiply
    256,888.75x = 385,443.85 × 107,158.53
  4. Step 4: Simplify right side
    256,888.75x = 41,303,596,363.54
  5. Step 5: Solve for x
    x = 41,303,596,363.54/256,888.75
  6. Step 6: Final answer
    x = 160,783.98

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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.