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Finding the Fourth Proportional to 86,843.40, 130,308.30 and 34,254.60

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Solution

The fourth proportional to 86,843.40, 130,308.30 and 34,254.60 is: 51,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,843.40 : 130,308.30 = 34,254.60 : x
  2. Step 2: Convert to fraction form
    86,843.40/130,308.30 = 34,254.60/x
  3. Step 3: Cross multiply
    86,843.40x = 130,308.30 × 34,254.60
  4. Step 4: Simplify right side
    86,843.40x = 4,463,658,693.18
  5. Step 5: Solve for x
    x = 4,463,658,693.18/86,843.40
  6. Step 6: Final answer
    x = 51,398.94

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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.