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Finding the Fourth Proportional to 105,294.66, 145,306.89 and 57,548.58

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Solution

The fourth proportional to 105,294.66, 145,306.89 and 57,548.58 is: 79,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,294.66 : 145,306.89 = 57,548.58 : x
  2. Step 2: Convert to fraction form
    105,294.66/145,306.89 = 57,548.58/x
  3. Step 3: Cross multiply
    105,294.66x = 145,306.89 × 57,548.58
  4. Step 4: Simplify right side
    105,294.66x = 8,362,205,183.72
  5. Step 5: Solve for x
    x = 8,362,205,183.72/105,294.66
  6. Step 6: Final answer
    x = 79,417.18

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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.