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Finding the Fourth Proportional to 54,809.40, 82,214.10 and 47,897.40

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Solution

The fourth proportional to 54,809.40, 82,214.10 and 47,897.40 is: 71,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.40 : 82,214.10 = 47,897.40 : x
  2. Step 2: Convert to fraction form
    54,809.40/82,214.10 = 47,897.40/x
  3. Step 3: Cross multiply
    54,809.40x = 82,214.10 × 47,897.40
  4. Step 4: Simplify right side
    54,809.40x = 3,937,841,633.34
  5. Step 5: Solve for x
    x = 3,937,841,633.34/54,809.40
  6. Step 6: Final answer
    x = 71,846.10

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1.5x scale

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.