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Finding the Fourth Proportional to 77,281.68, 106,883.51 and 69,321

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Solution

The fourth proportional to 77,281.68, 106,883.51 and 69,321 is: 95,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,281.68 : 106,883.51 = 69,321 : x
  2. Step 2: Convert to fraction form
    77,281.68/106,883.51 = 69,321/x
  3. Step 3: Cross multiply
    77,281.68x = 106,883.51 × 69,321
  4. Step 4: Simplify right side
    77,281.68x = 7,409,271,450.11
  5. Step 5: Solve for x
    x = 7,409,271,450.11/77,281.68
  6. Step 6: Final answer
    x = 95,873.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.