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Finding the Fourth Proportional to 76,632.28, 105,720.06 and 46,807

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Solution

The fourth proportional to 76,632.28, 105,720.06 and 46,807 is: 64,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,632.28 : 105,720.06 = 46,807 : x
  2. Step 2: Convert to fraction form
    76,632.28/105,720.06 = 46,807/x
  3. Step 3: Cross multiply
    76,632.28x = 105,720.06 × 46,807
  4. Step 4: Simplify right side
    76,632.28x = 4,948,438,848.42
  5. Step 5: Solve for x
    x = 4,948,438,848.42/76,632.28
  6. Step 6: Final answer
    x = 64,573.82

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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.