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Finding the Fourth Proportional to 51,119.64, 70,544.52 and 28,458

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Solution

The fourth proportional to 51,119.64, 70,544.52 and 28,458 is: 39,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,119.64 : 70,544.52 = 28,458 : x
  2. Step 2: Convert to fraction form
    51,119.64/70,544.52 = 28,458/x
  3. Step 3: Cross multiply
    51,119.64x = 70,544.52 × 28,458
  4. Step 4: Simplify right side
    51,119.64x = 2,007,555,950.16
  5. Step 5: Solve for x
    x = 2,007,555,950.16/51,119.64
  6. Step 6: Final answer
    x = 39,271.72

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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.