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Finding the Fourth Proportional to 103,646.88, 143,069.63 and 61,205.58

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Solution

The fourth proportional to 103,646.88, 143,069.63 and 61,205.58 is: 84,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,646.88 : 143,069.63 = 61,205.58 : x
  2. Step 2: Convert to fraction form
    103,646.88/143,069.63 = 61,205.58/x
  3. Step 3: Cross multiply
    103,646.88x = 143,069.63 × 61,205.58
  4. Step 4: Simplify right side
    103,646.88x = 8,756,659,378.51
  5. Step 5: Solve for x
    x = 8,756,659,378.51/103,646.88
  6. Step 6: Final answer
    x = 84,485.51

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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.