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Finding the Fourth Proportional to 76,380.95, 105,397.08 and 42,380.60

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Solution

The fourth proportional to 76,380.95, 105,397.08 and 42,380.60 is: 58,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380.95 : 105,397.08 = 42,380.60 : x
  2. Step 2: Convert to fraction form
    76,380.95/105,397.08 = 42,380.60/x
  3. Step 3: Cross multiply
    76,380.95x = 105,397.08 × 42,380.60
  4. Step 4: Simplify right side
    76,380.95x = 4,466,790,802.74
  5. Step 5: Solve for x
    x = 4,466,790,802.74/76,380.95
  6. Step 6: Final answer
    x = 58,480.43

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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.