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Finding the Fourth Proportional to 54,642.96, 75,412.71 and 31,980.60

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Solution

The fourth proportional to 54,642.96, 75,412.71 and 31,980.60 is: 44,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642.96 : 75,412.71 = 31,980.60 : x
  2. Step 2: Convert to fraction form
    54,642.96/75,412.71 = 31,980.60/x
  3. Step 3: Cross multiply
    54,642.96x = 75,412.71 × 31,980.60
  4. Step 4: Simplify right side
    54,642.96x = 2,411,743,713.43
  5. Step 5: Solve for x
    x = 2,411,743,713.43/54,642.96
  6. Step 6: Final answer
    x = 44,136.40

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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.