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Finding the Fourth Proportional to 256,016.40, 384,069.65 and 87,497.11

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Solution

The fourth proportional to 256,016.40, 384,069.65 and 87,497.11 is: 131,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,016.40 : 384,069.65 = 87,497.11 : x
  2. Step 2: Convert to fraction form
    256,016.40/384,069.65 = 87,497.11/x
  3. Step 3: Cross multiply
    256,016.40x = 384,069.65 × 87,497.11
  4. Step 4: Simplify right side
    256,016.40x = 33,604,984,413.71
  5. Step 5: Solve for x
    x = 33,604,984,413.71/256,016.40
  6. Step 6: Final answer
    x = 131,261.06

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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.