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Finding the Fourth Proportional to 170,231.64, 255,364.40 and 65,139

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Solution

The fourth proportional to 170,231.64, 255,364.40 and 65,139 is: 97,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,231.64 : 255,364.40 = 65,139 : x
  2. Step 2: Convert to fraction form
    170,231.64/255,364.40 = 65,139/x
  3. Step 3: Cross multiply
    170,231.64x = 255,364.40 × 65,139
  4. Step 4: Simplify right side
    170,231.64x = 16,634,181,651.60
  5. Step 5: Solve for x
    x = 16,634,181,651.60/170,231.64
  6. Step 6: Final answer
    x = 97,714.98

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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.