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Finding the Fourth Proportional to 103,367.00, 142,642.85 and 63,148.07

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Solution

The fourth proportional to 103,367.00, 142,642.85 and 63,148.07 is: 87,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,367.00 : 142,642.85 = 63,148.07 : x
  2. Step 2: Convert to fraction form
    103,367.00/142,642.85 = 63,148.07/x
  3. Step 3: Cross multiply
    103,367.00x = 142,642.85 × 63,148.07
  4. Step 4: Simplify right side
    103,367.00x = 9,007,619,647.84
  5. Step 5: Solve for x
    x = 9,007,619,647.84/103,367.00
  6. Step 6: Final answer
    x = 87,142.13

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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.