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Finding the Fourth Proportional to 105,615.75, 145,749.78 and 57,870.93

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Solution

The fourth proportional to 105,615.75, 145,749.78 and 57,870.93 is: 79,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,615.75 : 145,749.78 = 57,870.93 : x
  2. Step 2: Convert to fraction form
    105,615.75/145,749.78 = 57,870.93/x
  3. Step 3: Cross multiply
    105,615.75x = 145,749.78 × 57,870.93
  4. Step 4: Simplify right side
    105,615.75x = 8,434,675,315.90
  5. Step 5: Solve for x
    x = 8,434,675,315.90/105,615.75
  6. Step 6: Final answer
    x = 79,861.91

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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.