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Finding the Fourth Proportional to 76,710.40, 105,861.54 and 43,176.40

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Solution

The fourth proportional to 76,710.40, 105,861.54 and 43,176.40 is: 59,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710.40 : 105,861.54 = 43,176.40 : x
  2. Step 2: Convert to fraction form
    76,710.40/105,861.54 = 43,176.40/x
  3. Step 3: Cross multiply
    76,710.40x = 105,861.54 × 43,176.40
  4. Step 4: Simplify right side
    76,710.40x = 4,570,720,195.66
  5. Step 5: Solve for x
    x = 4,570,720,195.66/76,710.40
  6. Step 6: Final answer
    x = 59,584.10

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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.