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Finding the Fourth Proportional to 76,147.50, 105,034.80 and 61,076.34

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Solution

The fourth proportional to 76,147.50, 105,034.80 and 61,076.34 is: 84,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,147.50 : 105,034.80 = 61,076.34 : x
  2. Step 2: Convert to fraction form
    76,147.50/105,034.80 = 61,076.34/x
  3. Step 3: Cross multiply
    76,147.50x = 105,034.80 × 61,076.34
  4. Step 4: Simplify right side
    76,147.50x = 6,415,141,156.63
  5. Step 5: Solve for x
    x = 6,415,141,156.63/76,147.50
  6. Step 6: Final answer
    x = 84,246.25

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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.