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Finding the Fourth Proportional to 53,950.39, 74,483.47 and 47,965.50

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Solution

The fourth proportional to 53,950.39, 74,483.47 and 47,965.50 is: 66,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950.39 : 74,483.47 = 47,965.50 : x
  2. Step 2: Convert to fraction form
    53,950.39/74,483.47 = 47,965.50/x
  3. Step 3: Cross multiply
    53,950.39x = 74,483.47 × 47,965.50
  4. Step 4: Simplify right side
    53,950.39x = 3,572,636,880.29
  5. Step 5: Solve for x
    x = 3,572,636,880.29/53,950.39
  6. Step 6: Final answer
    x = 66,220.78

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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.