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Finding the Fourth Proportional to 256,002.60, 384,119.10 and 89,909.80

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Solution

The fourth proportional to 256,002.60, 384,119.10 and 89,909.80 is: 134,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,002.60 : 384,119.10 = 89,909.80 : x
  2. Step 2: Convert to fraction form
    256,002.60/384,119.10 = 89,909.80/x
  3. Step 3: Cross multiply
    256,002.60x = 384,119.10 × 89,909.80
  4. Step 4: Simplify right side
    256,002.60x = 34,536,071,457.18
  5. Step 5: Solve for x
    x = 34,536,071,457.18/256,002.60
  6. Step 6: Final answer
    x = 134,905.16

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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.