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Finding the Fourth Proportional to 77,051.93, 115,614.54 and 53,395.88

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Solution

The fourth proportional to 77,051.93, 115,614.54 and 53,395.88 is: 80,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,051.93 : 115,614.54 = 53,395.88 : x
  2. Step 2: Convert to fraction form
    77,051.93/115,614.54 = 53,395.88/x
  3. Step 3: Cross multiply
    77,051.93x = 115,614.54 × 53,395.88
  4. Step 4: Simplify right side
    77,051.93x = 6,173,339,526.02
  5. Step 5: Solve for x
    x = 6,173,339,526.02/77,051.93
  6. Step 6: Final answer
    x = 80,119.21

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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.