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Finding the Fourth Proportional to 296,686.50, 445,023.60 and 72,048.12

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Solution

The fourth proportional to 296,686.50, 445,023.60 and 72,048.12 is: 108,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,686.50 : 445,023.60 = 72,048.12 : x
  2. Step 2: Convert to fraction form
    296,686.50/445,023.60 = 72,048.12/x
  3. Step 3: Cross multiply
    296,686.50x = 445,023.60 × 72,048.12
  4. Step 4: Simplify right side
    296,686.50x = 32,063,113,735.63
  5. Step 5: Solve for x
    x = 32,063,113,735.63/296,686.50
  6. Step 6: Final answer
    x = 108,070.69

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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.