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Finding the Fourth Proportional to 105,419.54, 145,478.90 and 57,672.90

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Solution

The fourth proportional to 105,419.54, 145,478.90 and 57,672.90 is: 79,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,419.54 : 145,478.90 = 57,672.90 : x
  2. Step 2: Convert to fraction form
    105,419.54/145,478.90 = 57,672.90/x
  3. Step 3: Cross multiply
    105,419.54x = 145,478.90 × 57,672.90
  4. Step 4: Simplify right side
    105,419.54x = 8,390,190,195.99
  5. Step 5: Solve for x
    x = 8,390,190,195.99/105,419.54
  6. Step 6: Final answer
    x = 79,588.57

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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.