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Finding the Fourth Proportional to 145,956.60, 201,411.90 and 82,290.60

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Solution

The fourth proportional to 145,956.60, 201,411.90 and 82,290.60 is: 113,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,956.60 : 201,411.90 = 82,290.60 : x
  2. Step 2: Convert to fraction form
    145,956.60/201,411.90 = 82,290.60/x
  3. Step 3: Cross multiply
    145,956.60x = 201,411.90 × 82,290.60
  4. Step 4: Simplify right side
    145,956.60x = 16,574,306,098.14
  5. Step 5: Solve for x
    x = 16,574,306,098.14/145,956.60
  6. Step 6: Final answer
    x = 113,556.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.