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Finding the Fourth Proportional to 78,285.28, 108,032.29 and 47,647.29

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Solution

The fourth proportional to 78,285.28, 108,032.29 and 47,647.29 is: 65,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285.28 : 108,032.29 = 47,647.29 : x
  2. Step 2: Convert to fraction form
    78,285.28/108,032.29 = 47,647.29/x
  3. Step 3: Cross multiply
    78,285.28x = 108,032.29 × 47,647.29
  4. Step 4: Simplify right side
    78,285.28x = 5,147,445,864.34
  5. Step 5: Solve for x
    x = 5,147,445,864.34/78,285.28
  6. Step 6: Final answer
    x = 65,752.41

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1.5x scale

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.