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Finding the Fourth Proportional to 77,914.84, 107,498.55 and 47,668.63

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Solution

The fourth proportional to 77,914.84, 107,498.55 and 47,668.63 is: 65,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,914.84 : 107,498.55 = 47,668.63 : x
  2. Step 2: Convert to fraction form
    77,914.84/107,498.55 = 47,668.63/x
  3. Step 3: Cross multiply
    77,914.84x = 107,498.55 × 47,668.63
  4. Step 4: Simplify right side
    77,914.84x = 5,124,308,605.49
  5. Step 5: Solve for x
    x = 5,124,308,605.49/77,914.84
  6. Step 6: Final answer
    x = 65,768.07

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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.