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Finding the Fourth Proportional to 103,825.79, 143,280.93 and 61,383.95

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Solution

The fourth proportional to 103,825.79, 143,280.93 and 61,383.95 is: 84,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,825.79 : 143,280.93 = 61,383.95 : x
  2. Step 2: Convert to fraction form
    103,825.79/143,280.93 = 61,383.95/x
  3. Step 3: Cross multiply
    103,825.79x = 143,280.93 × 61,383.95
  4. Step 4: Simplify right side
    103,825.79x = 8,795,149,443.07
  5. Step 5: Solve for x
    x = 8,795,149,443.07/103,825.79
  6. Step 6: Final answer
    x = 84,710.64

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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.