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Finding the Fourth Proportional to 76,563.36, 105,655.20 and 42,570.96

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Solution

The fourth proportional to 76,563.36, 105,655.20 and 42,570.96 is: 58,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,563.36 : 105,655.20 = 42,570.96 : x
  2. Step 2: Convert to fraction form
    76,563.36/105,655.20 = 42,570.96/x
  3. Step 3: Cross multiply
    76,563.36x = 105,655.20 × 42,570.96
  4. Step 4: Simplify right side
    76,563.36x = 4,497,843,292.99
  5. Step 5: Solve for x
    x = 4,497,843,292.99/76,563.36
  6. Step 6: Final answer
    x = 58,746.68

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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.