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Finding the Fourth Proportional to 65,409.94, 98,111.84 and 38,407.33

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Solution

The fourth proportional to 65,409.94, 98,111.84 and 38,407.33 is: 57,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.94 : 98,111.84 = 38,407.33 : x
  2. Step 2: Convert to fraction form
    65,409.94/98,111.84 = 38,407.33/x
  3. Step 3: Cross multiply
    65,409.94x = 98,111.84 × 38,407.33
  4. Step 4: Simplify right side
    65,409.94x = 3,768,213,467.51
  5. Step 5: Solve for x
    x = 3,768,213,467.51/65,409.94
  6. Step 6: Final answer
    x = 57,609.18

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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.