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Finding the Fourth Proportional to 77,005.68, 106,209 and 53,172.24

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Solution

The fourth proportional to 77,005.68, 106,209 and 53,172.24 is: 73,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,005.68 : 106,209 = 53,172.24 : x
  2. Step 2: Convert to fraction form
    77,005.68/106,209 = 53,172.24/x
  3. Step 3: Cross multiply
    77,005.68x = 106,209 × 53,172.24
  4. Step 4: Simplify right side
    77,005.68x = 5,647,370,438.16
  5. Step 5: Solve for x
    x = 5,647,370,438.16/77,005.68
  6. Step 6: Final answer
    x = 73,337.06

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1.5x scale

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.