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Finding the Fourth Proportional to 76,288, 105,277.50 and 46,480

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Solution

The fourth proportional to 76,288, 105,277.50 and 46,480 is: 64,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,288 : 105,277.50 = 46,480 : x
  2. Step 2: Convert to fraction form
    76,288/105,277.50 = 46,480/x
  3. Step 3: Cross multiply
    76,288x = 105,277.50 × 46,480
  4. Step 4: Simplify right side
    76,288x = 4,893,298,200
  5. Step 5: Solve for x
    x = 4,893,298,200/76,288
  6. Step 6: Final answer
    x = 64,142.44

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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.