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Finding the Fourth Proportional to 102,299.72, 153,472.47 and 31,228.67

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Solution

The fourth proportional to 102,299.72, 153,472.47 and 31,228.67 is: 46,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,299.72 : 153,472.47 = 31,228.67 : x
  2. Step 2: Convert to fraction form
    102,299.72/153,472.47 = 31,228.67/x
  3. Step 3: Cross multiply
    102,299.72x = 153,472.47 × 31,228.67
  4. Step 4: Simplify right side
    102,299.72x = 4,792,741,503.40
  5. Step 5: Solve for x
    x = 4,792,741,503.40/102,299.72
  6. Step 6: Final answer
    x = 46,850.00

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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.