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Finding the Fourth Proportional to 81,482.63, 122,153.30 and 31,528.35

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Solution

The fourth proportional to 81,482.63, 122,153.30 and 31,528.35 is: 47,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,482.63 : 122,153.30 = 31,528.35 : x
  2. Step 2: Convert to fraction form
    81,482.63/122,153.30 = 31,528.35/x
  3. Step 3: Cross multiply
    81,482.63x = 122,153.30 × 31,528.35
  4. Step 4: Simplify right side
    81,482.63x = 3,851,291,956.64
  5. Step 5: Solve for x
    x = 3,851,291,956.64/81,482.63
  6. Step 6: Final answer
    x = 47,265.19

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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.