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Finding the Fourth Proportional to 76,755.03, 105,913.74 and 42,756.96

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Solution

The fourth proportional to 76,755.03, 105,913.74 and 42,756.96 is: 59,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,755.03 : 105,913.74 = 42,756.96 : x
  2. Step 2: Convert to fraction form
    76,755.03/105,913.74 = 42,756.96/x
  3. Step 3: Cross multiply
    76,755.03x = 105,913.74 × 42,756.96
  4. Step 4: Simplify right side
    76,755.03x = 4,528,549,544.63
  5. Step 5: Solve for x
    x = 4,528,549,544.63/76,755.03
  6. Step 6: Final answer
    x = 59,000.04

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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.