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Finding the Fourth Proportional to 76,549.81, 105,642.34 and 42,558.86

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Solution

The fourth proportional to 76,549.81, 105,642.34 and 42,558.86 is: 58,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.81 : 105,642.34 = 42,558.86 : x
  2. Step 2: Convert to fraction form
    76,549.81/105,642.34 = 42,558.86/x
  3. Step 3: Cross multiply
    76,549.81x = 105,642.34 × 42,558.86
  4. Step 4: Simplify right side
    76,549.81x = 4,496,017,558.13
  5. Step 5: Solve for x
    x = 4,496,017,558.13/76,549.81
  6. Step 6: Final answer
    x = 58,733.23

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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.