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Finding the Fourth Proportional to 51,437.81, 77,162.88 and 18,151

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Solution

The fourth proportional to 51,437.81, 77,162.88 and 18,151 is: 27,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,437.81 : 77,162.88 = 18,151 : x
  2. Step 2: Convert to fraction form
    51,437.81/77,162.88 = 18,151/x
  3. Step 3: Cross multiply
    51,437.81x = 77,162.88 × 18,151
  4. Step 4: Simplify right side
    51,437.81x = 1,400,583,434.88
  5. Step 5: Solve for x
    x = 1,400,583,434.88/51,437.81
  6. Step 6: Final answer
    x = 27,228.68

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1.5x scale

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.