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Finding the Fourth Proportional to 105,227.40, 145,208.40 and 57,471.53

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Solution

The fourth proportional to 105,227.40, 145,208.40 and 57,471.53 is: 79,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,227.40 : 145,208.40 = 57,471.53 : x
  2. Step 2: Convert to fraction form
    105,227.40/145,208.40 = 57,471.53/x
  3. Step 3: Cross multiply
    105,227.40x = 145,208.40 × 57,471.53
  4. Step 4: Simplify right side
    105,227.40x = 8,345,347,975.29
  5. Step 5: Solve for x
    x = 8,345,347,975.29/105,227.40
  6. Step 6: Final answer
    x = 79,307.74

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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.