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Finding the Fourth Proportional to 148,684.64, 205,178.64 and 81,618.08

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Solution

The fourth proportional to 148,684.64, 205,178.64 and 81,618.08 is: 112,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,684.64 : 205,178.64 = 81,618.08 : x
  2. Step 2: Convert to fraction form
    148,684.64/205,178.64 = 81,618.08/x
  3. Step 3: Cross multiply
    148,684.64x = 205,178.64 × 81,618.08
  4. Step 4: Simplify right side
    148,684.64x = 16,746,286,653.81
  5. Step 5: Solve for x
    x = 16,746,286,653.81/148,684.64
  6. Step 6: Final answer
    x = 112,629.57

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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.