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Finding the Fourth Proportional to 105,428.60, 158,142.91 and 30,548.80

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Solution

The fourth proportional to 105,428.60, 158,142.91 and 30,548.80 is: 45,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,428.60 : 158,142.91 = 30,548.80 : x
  2. Step 2: Convert to fraction form
    105,428.60/158,142.91 = 30,548.80/x
  3. Step 3: Cross multiply
    105,428.60x = 158,142.91 × 30,548.80
  4. Step 4: Simplify right side
    105,428.60x = 4,831,076,129.01
  5. Step 5: Solve for x
    x = 4,831,076,129.01/105,428.60
  6. Step 6: Final answer
    x = 45,823.20

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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.