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Finding the Fourth Proportional to 138,570.40, 207,855.60 and 49,826.80

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Solution

The fourth proportional to 138,570.40, 207,855.60 and 49,826.80 is: 74,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,570.40 : 207,855.60 = 49,826.80 : x
  2. Step 2: Convert to fraction form
    138,570.40/207,855.60 = 49,826.80/x
  3. Step 3: Cross multiply
    138,570.40x = 207,855.60 × 49,826.80
  4. Step 4: Simplify right side
    138,570.40x = 10,356,779,410.08
  5. Step 5: Solve for x
    x = 10,356,779,410.08/138,570.40
  6. Step 6: Final answer
    x = 74,740.20

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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.