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Finding the Fourth Proportional to 112,298, 168,490.80 and 42,182.84

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Solution

The fourth proportional to 112,298, 168,490.80 and 42,182.84 is: 63,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,298 : 168,490.80 = 42,182.84 : x
  2. Step 2: Convert to fraction form
    112,298/168,490.80 = 42,182.84/x
  3. Step 3: Cross multiply
    112,298x = 168,490.80 × 42,182.84
  4. Step 4: Simplify right side
    112,298x = 7,107,420,457.87
  5. Step 5: Solve for x
    x = 7,107,420,457.87/112,298
  6. Step 6: Final answer
    x = 63,290.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.