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Finding the Fourth Proportional to 55,315, 76,334.70 and 30,164.68

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Solution

The fourth proportional to 55,315, 76,334.70 and 30,164.68 is: 41,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,315 : 76,334.70 = 30,164.68 : x
  2. Step 2: Convert to fraction form
    55,315/76,334.70 = 30,164.68/x
  3. Step 3: Cross multiply
    55,315x = 76,334.70 × 30,164.68
  4. Step 4: Simplify right side
    55,315x = 2,302,611,798.40
  5. Step 5: Solve for x
    x = 2,302,611,798.40/55,315
  6. Step 6: Final answer
    x = 41,627.26

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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.