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Finding the Fourth Proportional to 86,933.40, 130,367.70 and 30,751.80

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Solution

The fourth proportional to 86,933.40, 130,367.70 and 30,751.80 is: 46,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,933.40 : 130,367.70 = 30,751.80 : x
  2. Step 2: Convert to fraction form
    86,933.40/130,367.70 = 30,751.80/x
  3. Step 3: Cross multiply
    86,933.40x = 130,367.70 × 30,751.80
  4. Step 4: Simplify right side
    86,933.40x = 4,009,041,436.86
  5. Step 5: Solve for x
    x = 4,009,041,436.86/86,933.40
  6. Step 6: Final answer
    x = 46,116.24

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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.