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Finding the Fourth Proportional to 282,464.64, 423,696.83 and 72,102.51

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Solution

The fourth proportional to 282,464.64, 423,696.83 and 72,102.51 is: 108,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,464.64 : 423,696.83 = 72,102.51 : x
  2. Step 2: Convert to fraction form
    282,464.64/423,696.83 = 72,102.51/x
  3. Step 3: Cross multiply
    282,464.64x = 423,696.83 × 72,102.51
  4. Step 4: Simplify right side
    282,464.64x = 30,549,604,561.53
  5. Step 5: Solve for x
    x = 30,549,604,561.53/282,464.64
  6. Step 6: Final answer
    x = 108,153.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.