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Finding the Fourth Proportional to 103,646.51, 143,069.12 and 61,205.21

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Solution

The fourth proportional to 103,646.51, 143,069.12 and 61,205.21 is: 84,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,646.51 : 143,069.12 = 61,205.21 : x
  2. Step 2: Convert to fraction form
    103,646.51/143,069.12 = 61,205.21/x
  3. Step 3: Cross multiply
    103,646.51x = 143,069.12 × 61,205.21
  4. Step 4: Simplify right side
    103,646.51x = 8,756,574,512.74
  5. Step 5: Solve for x
    x = 8,756,574,512.74/103,646.51
  6. Step 6: Final answer
    x = 84,485.00

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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.