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Finding the Fourth Proportional to 201,643.50, 302,465.26 and 70,315.50

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Solution

The fourth proportional to 201,643.50, 302,465.26 and 70,315.50 is: 105,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.50 : 302,465.26 = 70,315.50 : x
  2. Step 2: Convert to fraction form
    201,643.50/302,465.26 = 70,315.50/x
  3. Step 3: Cross multiply
    201,643.50x = 302,465.26 × 70,315.50
  4. Step 4: Simplify right side
    201,643.50x = 21,267,995,989.53
  5. Step 5: Solve for x
    x = 21,267,995,989.53/201,643.50
  6. Step 6: Final answer
    x = 105,473.25

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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.