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Finding the Fourth Proportional to 76,486.30, 105,555.80 and 42,495.01

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Solution

The fourth proportional to 76,486.30, 105,555.80 and 42,495.01 is: 58,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.30 : 105,555.80 = 42,495.01 : x
  2. Step 2: Convert to fraction form
    76,486.30/105,555.80 = 42,495.01/x
  3. Step 3: Cross multiply
    76,486.30x = 105,555.80 × 42,495.01
  4. Step 4: Simplify right side
    76,486.30x = 4,485,594,618.91
  5. Step 5: Solve for x
    x = 4,485,594,618.91/76,486.30
  6. Step 6: Final answer
    x = 58,645.73

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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.