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Finding the Fourth Proportional to 48,090.80, 72,087.60 and 21,814.40

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Solution

The fourth proportional to 48,090.80, 72,087.60 and 21,814.40 is: 32,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,090.80 : 72,087.60 = 21,814.40 : x
  2. Step 2: Convert to fraction form
    48,090.80/72,087.60 = 21,814.40/x
  3. Step 3: Cross multiply
    48,090.80x = 72,087.60 × 21,814.40
  4. Step 4: Simplify right side
    48,090.80x = 1,572,547,741.44
  5. Step 5: Solve for x
    x = 1,572,547,741.44/48,090.80
  6. Step 6: Final answer
    x = 32,699.55

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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.