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Finding the Fourth Proportional to 103,959.84, 143,315.28 and 74,100

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Solution

The fourth proportional to 103,959.84, 143,315.28 and 74,100 is: 102,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,959.84 : 143,315.28 = 74,100 : x
  2. Step 2: Convert to fraction form
    103,959.84/143,315.28 = 74,100/x
  3. Step 3: Cross multiply
    103,959.84x = 143,315.28 × 74,100
  4. Step 4: Simplify right side
    103,959.84x = 10,619,662,248
  5. Step 5: Solve for x
    x = 10,619,662,248/103,959.84
  6. Step 6: Final answer
    x = 102,151.58

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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.