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Finding the Fourth Proportional to 256,164, 384,248.16 and 89,952

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Solution

The fourth proportional to 256,164, 384,248.16 and 89,952 is: 134,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,164 : 384,248.16 = 89,952 : x
  2. Step 2: Convert to fraction form
    256,164/384,248.16 = 89,952/x
  3. Step 3: Cross multiply
    256,164x = 384,248.16 × 89,952
  4. Step 4: Simplify right side
    256,164x = 34,563,890,488.32
  5. Step 5: Solve for x
    x = 34,563,890,488.32/256,164
  6. Step 6: Final answer
    x = 134,928.76

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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.