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Finding the Fourth Proportional to 141,804.64, 212,506.34 and 78,652.54

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Solution

The fourth proportional to 141,804.64, 212,506.34 and 78,652.54 is: 117,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,804.64 : 212,506.34 = 78,652.54 : x
  2. Step 2: Convert to fraction form
    141,804.64/212,506.34 = 78,652.54/x
  3. Step 3: Cross multiply
    141,804.64x = 212,506.34 × 78,652.54
  4. Step 4: Simplify right side
    141,804.64x = 16,714,163,407.10
  5. Step 5: Solve for x
    x = 16,714,163,407.10/141,804.64
  6. Step 6: Final answer
    x = 117,867.54

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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.