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Finding the Fourth Proportional to 201,464.64, 278,023.20 and 112,041.28

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Solution

The fourth proportional to 201,464.64, 278,023.20 and 112,041.28 is: 154,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,464.64 : 278,023.20 = 112,041.28 : x
  2. Step 2: Convert to fraction form
    201,464.64/278,023.20 = 112,041.28/x
  3. Step 3: Cross multiply
    201,464.64x = 278,023.20 × 112,041.28
  4. Step 4: Simplify right side
    201,464.64x = 31,150,075,197.70
  5. Step 5: Solve for x
    x = 31,150,075,197.70/201,464.64
  6. Step 6: Final answer
    x = 154,618.08

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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.