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Finding the Fourth Proportional to 78,675.30, 108,572.40 and 46,845.54

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Solution

The fourth proportional to 78,675.30, 108,572.40 and 46,845.54 is: 64,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,675.30 : 108,572.40 = 46,845.54 : x
  2. Step 2: Convert to fraction form
    78,675.30/108,572.40 = 46,845.54/x
  3. Step 3: Cross multiply
    78,675.30x = 108,572.40 × 46,845.54
  4. Step 4: Simplify right side
    78,675.30x = 5,086,132,707.10
  5. Step 5: Solve for x
    x = 5,086,132,707.10/78,675.30
  6. Step 6: Final answer
    x = 64,647.13

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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.