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Finding the Fourth Proportional to 202,782.60, 304,346.70 and 90,635.40

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Solution

The fourth proportional to 202,782.60, 304,346.70 and 90,635.40 is: 136,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,782.60 : 304,346.70 = 90,635.40 : x
  2. Step 2: Convert to fraction form
    202,782.60/304,346.70 = 90,635.40/x
  3. Step 3: Cross multiply
    202,782.60x = 304,346.70 × 90,635.40
  4. Step 4: Simplify right side
    202,782.60x = 27,584,584,893.18
  5. Step 5: Solve for x
    x = 27,584,584,893.18/202,782.60
  6. Step 6: Final answer
    x = 136,030.33

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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.