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Finding the Fourth Proportional to 156,859.03, 235,325.45 and 51,678

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Solution

The fourth proportional to 156,859.03, 235,325.45 and 51,678 is: 77,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,859.03 : 235,325.45 = 51,678 : x
  2. Step 2: Convert to fraction form
    156,859.03/235,325.45 = 51,678/x
  3. Step 3: Cross multiply
    156,859.03x = 235,325.45 × 51,678
  4. Step 4: Simplify right side
    156,859.03x = 12,161,148,734.30
  5. Step 5: Solve for x
    x = 12,161,148,734.30/156,859.03
  6. Step 6: Final answer
    x = 77,529.16

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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.