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Finding the Fourth Proportional to 76,246.86, 105,219.10 and 42,255.08

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Solution

The fourth proportional to 76,246.86, 105,219.10 and 42,255.08 is: 58,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,246.86 : 105,219.10 = 42,255.08 : x
  2. Step 2: Convert to fraction form
    76,246.86/105,219.10 = 42,255.08/x
  3. Step 3: Cross multiply
    76,246.86x = 105,219.10 × 42,255.08
  4. Step 4: Simplify right side
    76,246.86x = 4,446,041,276.75
  5. Step 5: Solve for x
    x = 4,446,041,276.75/76,246.86
  6. Step 6: Final answer
    x = 58,311.14

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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.