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Finding the Fourth Proportional to 78,391.50, 117,509.49 and 43,347.66

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Solution

The fourth proportional to 78,391.50, 117,509.49 and 43,347.66 is: 64,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,391.50 : 117,509.49 = 43,347.66 : x
  2. Step 2: Convert to fraction form
    78,391.50/117,509.49 = 43,347.66/x
  3. Step 3: Cross multiply
    78,391.50x = 117,509.49 × 43,347.66
  4. Step 4: Simplify right side
    78,391.50x = 5,093,761,419.29
  5. Step 5: Solve for x
    x = 5,093,761,419.29/78,391.50
  6. Step 6: Final answer
    x = 64,978.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.