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Finding the Fourth Proportional to 105,645, 145,764 and 62,634.58

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Solution

The fourth proportional to 105,645, 145,764 and 62,634.58 is: 86,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,645 : 145,764 = 62,634.58 : x
  2. Step 2: Convert to fraction form
    105,645/145,764 = 62,634.58/x
  3. Step 3: Cross multiply
    105,645x = 145,764 × 62,634.58
  4. Step 4: Simplify right side
    105,645x = 9,129,866,919.12
  5. Step 5: Solve for x
    x = 9,129,866,919.12/105,645
  6. Step 6: Final answer
    x = 86,420.25

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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.