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Finding the Fourth Proportional to 140,878.32, 211,239.72 and 57,830.64

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Solution

The fourth proportional to 140,878.32, 211,239.72 and 57,830.64 is: 86,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,878.32 : 211,239.72 = 57,830.64 : x
  2. Step 2: Convert to fraction form
    140,878.32/211,239.72 = 57,830.64/x
  3. Step 3: Cross multiply
    140,878.32x = 211,239.72 × 57,830.64
  4. Step 4: Simplify right side
    140,878.32x = 12,216,128,201.02
  5. Step 5: Solve for x
    x = 12,216,128,201.02/140,878.32
  6. Step 6: Final answer
    x = 86,714.04

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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.