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Finding the Fourth Proportional to 202,822.60, 304,406.70 and 90,675.40

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Solution

The fourth proportional to 202,822.60, 304,406.70 and 90,675.40 is: 136,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,822.60 : 304,406.70 = 90,675.40 : x
  2. Step 2: Convert to fraction form
    202,822.60/304,406.70 = 90,675.40/x
  3. Step 3: Cross multiply
    202,822.60x = 304,406.70 × 90,675.40
  4. Step 4: Simplify right side
    202,822.60x = 27,602,199,285.18
  5. Step 5: Solve for x
    x = 27,602,199,285.18/202,822.60
  6. Step 6: Final answer
    x = 136,090.35

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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.