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Finding the Fourth Proportional to 254,973.30, 382,496.40 and 86,501.40

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Solution

The fourth proportional to 254,973.30, 382,496.40 and 86,501.40 is: 129,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,973.30 : 382,496.40 = 86,501.40 : x
  2. Step 2: Convert to fraction form
    254,973.30/382,496.40 = 86,501.40/x
  3. Step 3: Cross multiply
    254,973.30x = 382,496.40 × 86,501.40
  4. Step 4: Simplify right side
    254,973.30x = 33,086,474,094.96
  5. Step 5: Solve for x
    x = 33,086,474,094.96/254,973.30
  6. Step 6: Final answer
    x = 129,764.47

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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.