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Finding the Fourth Proportional to 256,116.90, 384,175.35 and 89,904.90

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Solution

The fourth proportional to 256,116.90, 384,175.35 and 89,904.90 is: 134,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,116.90 : 384,175.35 = 89,904.90 : x
  2. Step 2: Convert to fraction form
    256,116.90/384,175.35 = 89,904.90/x
  3. Step 3: Cross multiply
    256,116.90x = 384,175.35 × 89,904.90
  4. Step 4: Simplify right side
    256,116.90x = 34,539,246,424.22
  5. Step 5: Solve for x
    x = 34,539,246,424.22/256,116.90
  6. Step 6: Final answer
    x = 134,857.35

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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.