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Finding the Fourth Proportional to 76,494.25, 105,559.68 and 42,038.90

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Solution

The fourth proportional to 76,494.25, 105,559.68 and 42,038.90 is: 58,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.25 : 105,559.68 = 42,038.90 : x
  2. Step 2: Convert to fraction form
    76,494.25/105,559.68 = 42,038.90/x
  3. Step 3: Cross multiply
    76,494.25x = 105,559.68 × 42,038.90
  4. Step 4: Simplify right side
    76,494.25x = 4,437,612,831.55
  5. Step 5: Solve for x
    x = 4,437,612,831.55/76,494.25
  6. Step 6: Final answer
    x = 58,012.37

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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.