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Finding the Fourth Proportional to 149,643.30, 224,338.53 and 69,639.98

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Solution

The fourth proportional to 149,643.30, 224,338.53 and 69,639.98 is: 104,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,643.30 : 224,338.53 = 69,639.98 : x
  2. Step 2: Convert to fraction form
    149,643.30/224,338.53 = 69,639.98/x
  3. Step 3: Cross multiply
    149,643.30x = 224,338.53 × 69,639.98
  4. Step 4: Simplify right side
    149,643.30x = 15,622,931,303.28
  5. Step 5: Solve for x
    x = 15,622,931,303.28/149,643.30
  6. Step 6: Final answer
    x = 104,401.14

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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.