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Finding the Fourth Proportional to 99,813, 149,783.70 and 39,831.18

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Solution

The fourth proportional to 99,813, 149,783.70 and 39,831.18 is: 59,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813 : 149,783.70 = 39,831.18 : x
  2. Step 2: Convert to fraction form
    99,813/149,783.70 = 39,831.18/x
  3. Step 3: Cross multiply
    99,813x = 149,783.70 × 39,831.18
  4. Step 4: Simplify right side
    99,813x = 5,966,061,515.77
  5. Step 5: Solve for x
    x = 5,966,061,515.77/99,813
  6. Step 6: Final answer
    x = 59,772.39

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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.