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Finding the Fourth Proportional to 78,561.89, 108,406.60 and 46,294.41

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Solution

The fourth proportional to 78,561.89, 108,406.60 and 46,294.41 is: 63,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,561.89 : 108,406.60 = 46,294.41 : x
  2. Step 2: Convert to fraction form
    78,561.89/108,406.60 = 46,294.41/x
  3. Step 3: Cross multiply
    78,561.89x = 108,406.60 × 46,294.41
  4. Step 4: Simplify right side
    78,561.89x = 5,018,619,587.11
  5. Step 5: Solve for x
    x = 5,018,619,587.11/78,561.89
  6. Step 6: Final answer
    x = 63,881.10

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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.