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Finding the Fourth Proportional to 86,906.40, 130,402.80 and 34,317.60

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Solution

The fourth proportional to 86,906.40, 130,402.80 and 34,317.60 is: 51,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,906.40 : 130,402.80 = 34,317.60 : x
  2. Step 2: Convert to fraction form
    86,906.40/130,402.80 = 34,317.60/x
  3. Step 3: Cross multiply
    86,906.40x = 130,402.80 × 34,317.60
  4. Step 4: Simplify right side
    86,906.40x = 4,475,111,129.28
  5. Step 5: Solve for x
    x = 4,475,111,129.28/86,906.40
  6. Step 6: Final answer
    x = 51,493.46

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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.