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Finding the Fourth Proportional to 75,430.68, 104,113.04 and 43,618

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Solution

The fourth proportional to 75,430.68, 104,113.04 and 43,618 is: 60,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,430.68 : 104,113.04 = 43,618 : x
  2. Step 2: Convert to fraction form
    75,430.68/104,113.04 = 43,618/x
  3. Step 3: Cross multiply
    75,430.68x = 104,113.04 × 43,618
  4. Step 4: Simplify right side
    75,430.68x = 4,541,202,578.72
  5. Step 5: Solve for x
    x = 4,541,202,578.72/75,430.68
  6. Step 6: Final answer
    x = 60,203.65

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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.