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Finding the Fourth Proportional to 78,134.40, 107,825.45 and 42,324.41

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Solution

The fourth proportional to 78,134.40, 107,825.45 and 42,324.41 is: 58,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.40 : 107,825.45 = 42,324.41 : x
  2. Step 2: Convert to fraction form
    78,134.40/107,825.45 = 42,324.41/x
  3. Step 3: Cross multiply
    78,134.40x = 107,825.45 × 42,324.41
  4. Step 4: Simplify right side
    78,134.40x = 4,563,648,612.18
  5. Step 5: Solve for x
    x = 4,563,648,612.18/78,134.40
  6. Step 6: Final answer
    x = 58,407.67

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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.