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Finding the Fourth Proportional to 107,132.80, 147,852 and 59,401.12

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Solution

The fourth proportional to 107,132.80, 147,852 and 59,401.12 is: 81,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,132.80 : 147,852 = 59,401.12 : x
  2. Step 2: Convert to fraction form
    107,132.80/147,852 = 59,401.12/x
  3. Step 3: Cross multiply
    107,132.80x = 147,852 × 59,401.12
  4. Step 4: Simplify right side
    107,132.80x = 8,782,574,394.24
  5. Step 5: Solve for x
    x = 8,782,574,394.24/107,132.80
  6. Step 6: Final answer
    x = 81,978.39

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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.