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Finding the Fourth Proportional to 105,646, 145,765.38 and 62,635.58

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Solution

The fourth proportional to 105,646, 145,765.38 and 62,635.58 is: 86,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,646 : 145,765.38 = 62,635.58 : x
  2. Step 2: Convert to fraction form
    105,646/145,765.38 = 62,635.58/x
  3. Step 3: Cross multiply
    105,646x = 145,765.38 × 62,635.58
  4. Step 4: Simplify right side
    105,646x = 9,130,099,120.22
  5. Step 5: Solve for x
    x = 9,130,099,120.22/105,646
  6. Step 6: Final answer
    x = 86,421.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.