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Finding the Fourth Proportional to 86,585.40, 129,845.70 and 30,403.80

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Solution

The fourth proportional to 86,585.40, 129,845.70 and 30,403.80 is: 45,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,585.40 : 129,845.70 = 30,403.80 : x
  2. Step 2: Convert to fraction form
    86,585.40/129,845.70 = 30,403.80/x
  3. Step 3: Cross multiply
    86,585.40x = 129,845.70 × 30,403.80
  4. Step 4: Simplify right side
    86,585.40x = 3,947,802,693.66
  5. Step 5: Solve for x
    x = 3,947,802,693.66/86,585.40
  6. Step 6: Final answer
    x = 45,594.32

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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.