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Finding the Fourth Proportional to 206,030.40, 308,815.20 and 87,681.60

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Solution

The fourth proportional to 206,030.40, 308,815.20 and 87,681.60 is: 131,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,030.40 : 308,815.20 = 87,681.60 : x
  2. Step 2: Convert to fraction form
    206,030.40/308,815.20 = 87,681.60/x
  3. Step 3: Cross multiply
    206,030.40x = 308,815.20 × 87,681.60
  4. Step 4: Simplify right side
    206,030.40x = 27,077,410,840.32
  5. Step 5: Solve for x
    x = 27,077,410,840.32/206,030.40
  6. Step 6: Final answer
    x = 131,424.35

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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.