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Finding the Fourth Proportional to 252,187.60, 378,281.40 and 145,899.40

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Solution

The fourth proportional to 252,187.60, 378,281.40 and 145,899.40 is: 218,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,187.60 : 378,281.40 = 145,899.40 : x
  2. Step 2: Convert to fraction form
    252,187.60/378,281.40 = 145,899.40/x
  3. Step 3: Cross multiply
    252,187.60x = 378,281.40 × 145,899.40
  4. Step 4: Simplify right side
    252,187.60x = 55,191,029,291.16
  5. Step 5: Solve for x
    x = 55,191,029,291.16/252,187.60
  6. Step 6: Final answer
    x = 218,849.10

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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.