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Finding the Fourth Proportional to 77,683.90, 107,089.68 and 54,952.90

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Solution

The fourth proportional to 77,683.90, 107,089.68 and 54,952.90 is: 75,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,683.90 : 107,089.68 = 54,952.90 : x
  2. Step 2: Convert to fraction form
    77,683.90/107,089.68 = 54,952.90/x
  3. Step 3: Cross multiply
    77,683.90x = 107,089.68 × 54,952.90
  4. Step 4: Simplify right side
    77,683.90x = 5,884,888,476.07
  5. Step 5: Solve for x
    x = 5,884,888,476.07/77,683.90
  6. Step 6: Final answer
    x = 75,754.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.