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Finding the Fourth Proportional to 76,957.48, 105,964.42 and 65,601.48

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Solution

The fourth proportional to 76,957.48, 105,964.42 and 65,601.48 is: 90,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,957.48 : 105,964.42 = 65,601.48 : x
  2. Step 2: Convert to fraction form
    76,957.48/105,964.42 = 65,601.48/x
  3. Step 3: Cross multiply
    76,957.48x = 105,964.42 × 65,601.48
  4. Step 4: Simplify right side
    76,957.48x = 6,951,422,779.34
  5. Step 5: Solve for x
    x = 6,951,422,779.34/76,957.48
  6. Step 6: Final answer
    x = 90,328.10

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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.