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Finding the Fourth Proportional to 256,113.57, 384,188.92 and 98,342.02

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Solution

The fourth proportional to 256,113.57, 384,188.92 and 98,342.02 is: 147,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,113.57 : 384,188.92 = 98,342.02 : x
  2. Step 2: Convert to fraction form
    256,113.57/384,188.92 = 98,342.02/x
  3. Step 3: Cross multiply
    256,113.57x = 384,188.92 × 98,342.02
  4. Step 4: Simplify right side
    256,113.57x = 37,781,916,322.50
  5. Step 5: Solve for x
    x = 37,781,916,322.50/256,113.57
  6. Step 6: Final answer
    x = 147,520.17

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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.