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Finding the Fourth Proportional to 70,643.52, 97,566.84 and 47,943

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Solution

The fourth proportional to 70,643.52, 97,566.84 and 47,943 is: 66,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,643.52 : 97,566.84 = 47,943 : x
  2. Step 2: Convert to fraction form
    70,643.52/97,566.84 = 47,943/x
  3. Step 3: Cross multiply
    70,643.52x = 97,566.84 × 47,943
  4. Step 4: Simplify right side
    70,643.52x = 4,677,647,010.12
  5. Step 5: Solve for x
    x = 4,677,647,010.12/70,643.52
  6. Step 6: Final answer
    x = 66,214.81

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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.