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Finding the Fourth Proportional to 76,624.32, 105,746.32 and 42,640.39

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Solution

The fourth proportional to 76,624.32, 105,746.32 and 42,640.39 is: 58,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,624.32 : 105,746.32 = 42,640.39 : x
  2. Step 2: Convert to fraction form
    76,624.32/105,746.32 = 42,640.39/x
  3. Step 3: Cross multiply
    76,624.32x = 105,746.32 × 42,640.39
  4. Step 4: Simplify right side
    76,624.32x = 4,509,064,325.86
  5. Step 5: Solve for x
    x = 4,509,064,325.86/76,624.32
  6. Step 6: Final answer
    x = 58,846.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.