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Finding the Fourth Proportional to 76,319.49, 105,319.32 and 42,322.49

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Solution

The fourth proportional to 76,319.49, 105,319.32 and 42,322.49 is: 58,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,319.49 : 105,319.32 = 42,322.49 : x
  2. Step 2: Convert to fraction form
    76,319.49/105,319.32 = 42,322.49/x
  3. Step 3: Cross multiply
    76,319.49x = 105,319.32 × 42,322.49
  4. Step 4: Simplify right side
    76,319.49x = 4,457,375,934.24
  5. Step 5: Solve for x
    x = 4,457,375,934.24/76,319.49
  6. Step 6: Final answer
    x = 58,404.16

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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.