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Finding the Fourth Proportional to 102,782.64, 154,080.40 and 39,562.40

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Solution

The fourth proportional to 102,782.64, 154,080.40 and 39,562.40 is: 59,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,782.64 : 154,080.40 = 39,562.40 : x
  2. Step 2: Convert to fraction form
    102,782.64/154,080.40 = 39,562.40/x
  3. Step 3: Cross multiply
    102,782.64x = 154,080.40 × 39,562.40
  4. Step 4: Simplify right side
    102,782.64x = 6,095,790,416.96
  5. Step 5: Solve for x
    x = 6,095,790,416.96/102,782.64
  6. Step 6: Final answer
    x = 59,307.59

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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.