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Finding the Fourth Proportional to 76,480, 105,548.16 and 46,677.76

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Solution

The fourth proportional to 76,480, 105,548.16 and 46,677.76 is: 64,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,480 : 105,548.16 = 46,677.76 : x
  2. Step 2: Convert to fraction form
    76,480/105,548.16 = 46,677.76/x
  3. Step 3: Cross multiply
    76,480x = 105,548.16 × 46,677.76
  4. Step 4: Simplify right side
    76,480x = 4,926,751,680.92
  5. Step 5: Solve for x
    x = 4,926,751,680.92/76,480
  6. Step 6: Final answer
    x = 64,418.82

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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.