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Finding the Fourth Proportional to 105,749.88, 158,421.84 and 65,649.84

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Solution

The fourth proportional to 105,749.88, 158,421.84 and 65,649.84 is: 98,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,749.88 : 158,421.84 = 65,649.84 : x
  2. Step 2: Convert to fraction form
    105,749.88/158,421.84 = 65,649.84/x
  3. Step 3: Cross multiply
    105,749.88x = 158,421.84 × 65,649.84
  4. Step 4: Simplify right side
    105,749.88x = 10,400,368,448.51
  5. Step 5: Solve for x
    x = 10,400,368,448.51/105,749.88
  6. Step 6: Final answer
    x = 98,348.75

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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.