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Finding the Fourth Proportional to 156,920, 235,483.68 and 73,820.48

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Solution

The fourth proportional to 156,920, 235,483.68 and 73,820.48 is: 110,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,920 : 235,483.68 = 73,820.48 : x
  2. Step 2: Convert to fraction form
    156,920/235,483.68 = 73,820.48/x
  3. Step 3: Cross multiply
    156,920x = 235,483.68 × 73,820.48
  4. Step 4: Simplify right side
    156,920x = 17,383,518,289.77
  5. Step 5: Solve for x
    x = 17,383,518,289.77/156,920
  6. Step 6: Final answer
    x = 110,779.49

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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.