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Finding the Fourth Proportional to 78,465.67, 108,280.35 and 44,477.29

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Solution

The fourth proportional to 78,465.67, 108,280.35 and 44,477.29 is: 61,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.67 : 108,280.35 = 44,477.29 : x
  2. Step 2: Convert to fraction form
    78,465.67/108,280.35 = 44,477.29/x
  3. Step 3: Cross multiply
    78,465.67x = 108,280.35 × 44,477.29
  4. Step 4: Simplify right side
    78,465.67x = 4,816,016,528.25
  5. Step 5: Solve for x
    x = 4,816,016,528.25/78,465.67
  6. Step 6: Final answer
    x = 61,377.37

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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.