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Finding the Fourth Proportional to 76,483, 105,551.94 and 42,949

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Solution

The fourth proportional to 76,483, 105,551.94 and 42,949 is: 59,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,483 : 105,551.94 = 42,949 : x
  2. Step 2: Convert to fraction form
    76,483/105,551.94 = 42,949/x
  3. Step 3: Cross multiply
    76,483x = 105,551.94 × 42,949
  4. Step 4: Simplify right side
    76,483x = 4,533,350,271.06
  5. Step 5: Solve for x
    x = 4,533,350,271.06/76,483
  6. Step 6: Final answer
    x = 59,272.65

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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.