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Finding the Fourth Proportional to 51,991.48, 77,978.94 and 14,547.52

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Solution

The fourth proportional to 51,991.48, 77,978.94 and 14,547.52 is: 21,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991.48 : 77,978.94 = 14,547.52 : x
  2. Step 2: Convert to fraction form
    51,991.48/77,978.94 = 14,547.52/x
  3. Step 3: Cross multiply
    51,991.48x = 77,978.94 × 14,547.52
  4. Step 4: Simplify right side
    51,991.48x = 1,134,400,189.23
  5. Step 5: Solve for x
    x = 1,134,400,189.23/51,991.48
  6. Step 6: Final answer
    x = 21,818.96

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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.