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Finding the Fourth Proportional to 51,786.74, 77,681.78 and 14,347.18

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Solution

The fourth proportional to 51,786.74, 77,681.78 and 14,347.18 is: 21,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,786.74 : 77,681.78 = 14,347.18 : x
  2. Step 2: Convert to fraction form
    51,786.74/77,681.78 = 14,347.18/x
  3. Step 3: Cross multiply
    51,786.74x = 77,681.78 × 14,347.18
  4. Step 4: Simplify right side
    51,786.74x = 1,114,514,203.29
  5. Step 5: Solve for x
    x = 1,114,514,203.29/51,786.74
  6. Step 6: Final answer
    x = 21,521.23

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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.