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Finding the Fourth Proportional to 256,017.51, 384,026.46 and 87,539.11

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Solution

The fourth proportional to 256,017.51, 384,026.46 and 87,539.11 is: 131,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,017.51 : 384,026.46 = 87,539.11 : x
  2. Step 2: Convert to fraction form
    256,017.51/384,026.46 = 87,539.11/x
  3. Step 3: Cross multiply
    256,017.51x = 384,026.46 × 87,539.11
  4. Step 4: Simplify right side
    256,017.51x = 33,617,333,564.78
  5. Step 5: Solve for x
    x = 33,617,333,564.78/256,017.51
  6. Step 6: Final answer
    x = 131,308.73

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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.