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Finding the Fourth Proportional to 51,409.65, 77,148.90 and 18,129.99

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Solution

The fourth proportional to 51,409.65, 77,148.90 and 18,129.99 is: 27,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.65 : 77,148.90 = 18,129.99 : x
  2. Step 2: Convert to fraction form
    51,409.65/77,148.90 = 18,129.99/x
  3. Step 3: Cross multiply
    51,409.65x = 77,148.90 × 18,129.99
  4. Step 4: Simplify right side
    51,409.65x = 1,398,708,785.51
  5. Step 5: Solve for x
    x = 1,398,708,785.51/51,409.65
  6. Step 6: Final answer
    x = 27,207.13

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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.