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Finding the Fourth Proportional to 76,705.40, 105,850.80 and 43,164.92

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Solution

The fourth proportional to 76,705.40, 105,850.80 and 43,164.92 is: 59,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,705.40 : 105,850.80 = 43,164.92 : x
  2. Step 2: Convert to fraction form
    76,705.40/105,850.80 = 43,164.92/x
  3. Step 3: Cross multiply
    76,705.40x = 105,850.80 × 43,164.92
  4. Step 4: Simplify right side
    76,705.40x = 4,569,041,313.94
  5. Step 5: Solve for x
    x = 4,569,041,313.94/76,705.40
  6. Step 6: Final answer
    x = 59,566.10

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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.