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Finding the Fourth Proportional to 77,690, 107,215.41 and 43,700.08

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Solution

The fourth proportional to 77,690, 107,215.41 and 43,700.08 is: 60,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,690 : 107,215.41 = 43,700.08 : x
  2. Step 2: Convert to fraction form
    77,690/107,215.41 = 43,700.08/x
  3. Step 3: Cross multiply
    77,690x = 107,215.41 × 43,700.08
  4. Step 4: Simplify right side
    77,690x = 4,685,321,994.23
  5. Step 5: Solve for x
    x = 4,685,321,994.23/77,690
  6. Step 6: Final answer
    x = 60,307.92

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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.