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Finding the Fourth Proportional to 76,558.49, 105,654.23 and 42,570.46

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Solution

The fourth proportional to 76,558.49, 105,654.23 and 42,570.46 is: 58,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,558.49 : 105,654.23 = 42,570.46 : x
  2. Step 2: Convert to fraction form
    76,558.49/105,654.23 = 42,570.46/x
  3. Step 3: Cross multiply
    76,558.49x = 105,654.23 × 42,570.46
  4. Step 4: Simplify right side
    76,558.49x = 4,497,749,172.05
  5. Step 5: Solve for x
    x = 4,497,749,172.05/76,558.49
  6. Step 6: Final answer
    x = 58,749.19

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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.