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Finding the Fourth Proportional to 105,273.78, 145,275.42 and 57,527.42

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Solution

The fourth proportional to 105,273.78, 145,275.42 and 57,527.42 is: 79,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,273.78 : 145,275.42 = 57,527.42 : x
  2. Step 2: Convert to fraction form
    105,273.78/145,275.42 = 57,527.42/x
  3. Step 3: Cross multiply
    105,273.78x = 145,275.42 × 57,527.42
  4. Step 4: Simplify right side
    105,273.78x = 8,357,319,591.37
  5. Step 5: Solve for x
    x = 8,357,319,591.37/105,273.78
  6. Step 6: Final answer
    x = 79,386.53

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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.