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Finding the Fourth Proportional to 76,382.44, 105,407.76 and 42,848.44

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Solution

The fourth proportional to 76,382.44, 105,407.76 and 42,848.44 is: 59,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,382.44 : 105,407.76 = 42,848.44 : x
  2. Step 2: Convert to fraction form
    76,382.44/105,407.76 = 42,848.44/x
  3. Step 3: Cross multiply
    76,382.44x = 105,407.76 × 42,848.44
  4. Step 4: Simplify right side
    76,382.44x = 4,516,557,977.06
  5. Step 5: Solve for x
    x = 4,516,557,977.06/76,382.44
  6. Step 6: Final answer
    x = 59,130.84

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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.