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Finding the Fourth Proportional to 107,693.55, 148,663.05 and 76,668.80

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Solution

The fourth proportional to 107,693.55, 148,663.05 and 76,668.80 is: 105,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,693.55 : 148,663.05 = 76,668.80 : x
  2. Step 2: Convert to fraction form
    107,693.55/148,663.05 = 76,668.80/x
  3. Step 3: Cross multiply
    107,693.55x = 148,663.05 × 76,668.80
  4. Step 4: Simplify right side
    107,693.55x = 11,397,816,904.52
  5. Step 5: Solve for x
    x = 11,397,816,904.52/107,693.55
  6. Step 6: Final answer
    x = 105,835.65

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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.