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Finding the Fourth Proportional to 105,027.56, 144,934.80 and 57,281.84

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Solution

The fourth proportional to 105,027.56, 144,934.80 and 57,281.84 is: 79,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.56 : 144,934.80 = 57,281.84 : x
  2. Step 2: Convert to fraction form
    105,027.56/144,934.80 = 57,281.84/x
  3. Step 3: Cross multiply
    105,027.56x = 144,934.80 × 57,281.84
  4. Step 4: Simplify right side
    105,027.56x = 8,302,132,024.03
  5. Step 5: Solve for x
    x = 8,302,132,024.03/105,027.56
  6. Step 6: Final answer
    x = 79,047.18

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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.