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Finding the Fourth Proportional to 76,403.15, 105,435.42 and 42,411.90

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Solution

The fourth proportional to 76,403.15, 105,435.42 and 42,411.90 is: 58,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,403.15 : 105,435.42 = 42,411.90 : x
  2. Step 2: Convert to fraction form
    76,403.15/105,435.42 = 42,411.90/x
  3. Step 3: Cross multiply
    76,403.15x = 105,435.42 × 42,411.90
  4. Step 4: Simplify right side
    76,403.15x = 4,471,716,964.40
  5. Step 5: Solve for x
    x = 4,471,716,964.40/76,403.15
  6. Step 6: Final answer
    x = 58,527.91

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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.