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Finding the Fourth Proportional to 201,507, 278,081.28 and 112,083

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Solution

The fourth proportional to 201,507, 278,081.28 and 112,083 is: 154,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,507 : 278,081.28 = 112,083 : x
  2. Step 2: Convert to fraction form
    201,507/278,081.28 = 112,083/x
  3. Step 3: Cross multiply
    201,507x = 278,081.28 × 112,083
  4. Step 4: Simplify right side
    201,507x = 31,168,184,106.24
  5. Step 5: Solve for x
    x = 31,168,184,106.24/201,507
  6. Step 6: Final answer
    x = 154,675.44

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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.