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Finding the Fourth Proportional to 76,495.68, 105,563.84 and 42,504.03

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Solution

The fourth proportional to 76,495.68, 105,563.84 and 42,504.03 is: 58,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.68 : 105,563.84 = 42,504.03 : x
  2. Step 2: Convert to fraction form
    76,495.68/105,563.84 = 42,504.03/x
  3. Step 3: Cross multiply
    76,495.68x = 105,563.84 × 42,504.03
  4. Step 4: Simplify right side
    76,495.68x = 4,486,888,409.76
  5. Step 5: Solve for x
    x = 4,486,888,409.76/76,495.68
  6. Step 6: Final answer
    x = 58,655.45

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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.