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Finding the Fourth Proportional to 86,782.40, 130,221.52 and 42,409.44

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Solution

The fourth proportional to 86,782.40, 130,221.52 and 42,409.44 is: 63,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,782.40 : 130,221.52 = 42,409.44 : x
  2. Step 2: Convert to fraction form
    86,782.40/130,221.52 = 42,409.44/x
  3. Step 3: Cross multiply
    86,782.40x = 130,221.52 × 42,409.44
  4. Step 4: Simplify right side
    86,782.40x = 5,522,621,739.15
  5. Step 5: Solve for x
    x = 5,522,621,739.15/86,782.40
  6. Step 6: Final answer
    x = 63,637.58

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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.