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Finding the Fourth Proportional to 202,957.64, 280,074.65 and 112,317.42

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Solution

The fourth proportional to 202,957.64, 280,074.65 and 112,317.42 is: 154,994.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,957.64 : 280,074.65 = 112,317.42 : x
  2. Step 2: Convert to fraction form
    202,957.64/280,074.65 = 112,317.42/x
  3. Step 3: Cross multiply
    202,957.64x = 280,074.65 × 112,317.42
  4. Step 4: Simplify right side
    202,957.64x = 31,457,263,215.88
  5. Step 5: Solve for x
    x = 31,457,263,215.88/202,957.64
  6. Step 6: Final answer
    x = 154,994.23

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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.