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Finding the Fourth Proportional to 81,282.30, 121,729.05 and 65,730.30

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Solution

The fourth proportional to 81,282.30, 121,729.05 and 65,730.30 is: 98,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282.30 : 121,729.05 = 65,730.30 : x
  2. Step 2: Convert to fraction form
    81,282.30/121,729.05 = 65,730.30/x
  3. Step 3: Cross multiply
    81,282.30x = 121,729.05 × 65,730.30
  4. Step 4: Simplify right side
    81,282.30x = 8,001,286,975.22
  5. Step 5: Solve for x
    x = 8,001,286,975.22/81,282.30
  6. Step 6: Final answer
    x = 98,438.25

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1.5x scale

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.