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Finding the Fourth Proportional to 86,951.21, 130,189.68 and 65,827.35

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Solution

The fourth proportional to 86,951.21, 130,189.68 and 65,827.35 is: 98,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,951.21 : 130,189.68 = 65,827.35 : x
  2. Step 2: Convert to fraction form
    86,951.21/130,189.68 = 65,827.35/x
  3. Step 3: Cross multiply
    86,951.21x = 130,189.68 × 65,827.35
  4. Step 4: Simplify right side
    86,951.21x = 8,570,041,631.75
  5. Step 5: Solve for x
    x = 8,570,041,631.75/86,951.21
  6. Step 6: Final answer
    x = 98,561.51

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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.