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Finding the Fourth Proportional to 77,946.47, 107,567.11 and 47,310.69

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Solution

The fourth proportional to 77,946.47, 107,567.11 and 47,310.69 is: 65,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946.47 : 107,567.11 = 47,310.69 : x
  2. Step 2: Convert to fraction form
    77,946.47/107,567.11 = 47,310.69/x
  3. Step 3: Cross multiply
    77,946.47x = 107,567.11 × 47,310.69
  4. Step 4: Simplify right side
    77,946.47x = 5,089,074,195.41
  5. Step 5: Solve for x
    x = 5,089,074,195.41/77,946.47
  6. Step 6: Final answer
    x = 65,289.35

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1.5x scale

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.