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Finding the Fourth Proportional to 102,775.64, 154,130.65 and 32,638.55

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Solution

The fourth proportional to 102,775.64, 154,130.65 and 32,638.55 is: 48,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,775.64 : 154,130.65 = 32,638.55 : x
  2. Step 2: Convert to fraction form
    102,775.64/154,130.65 = 32,638.55/x
  3. Step 3: Cross multiply
    102,775.64x = 154,130.65 × 32,638.55
  4. Step 4: Simplify right side
    102,775.64x = 5,030,600,074.31
  5. Step 5: Solve for x
    x = 5,030,600,074.31/102,775.64
  6. Step 6: Final answer
    x = 48,947.40

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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.