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Finding the Fourth Proportional to 208,087.20, 312,130.80 and 145,101.60

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Solution

The fourth proportional to 208,087.20, 312,130.80 and 145,101.60 is: 217,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,087.20 : 312,130.80 = 145,101.60 : x
  2. Step 2: Convert to fraction form
    208,087.20/312,130.80 = 145,101.60/x
  3. Step 3: Cross multiply
    208,087.20x = 312,130.80 × 145,101.60
  4. Step 4: Simplify right side
    208,087.20x = 45,290,678,489.28
  5. Step 5: Solve for x
    x = 45,290,678,489.28/208,087.20
  6. Step 6: Final answer
    x = 217,652.40

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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.