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Finding the Fourth Proportional to 76,120, 105,045.60 and 42,586

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Solution

The fourth proportional to 76,120, 105,045.60 and 42,586 is: 58,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,120 : 105,045.60 = 42,586 : x
  2. Step 2: Convert to fraction form
    76,120/105,045.60 = 42,586/x
  3. Step 3: Cross multiply
    76,120x = 105,045.60 × 42,586
  4. Step 4: Simplify right side
    76,120x = 4,473,471,921.60
  5. Step 5: Solve for x
    x = 4,473,471,921.60/76,120
  6. Step 6: Final answer
    x = 58,768.68

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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.