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Finding the Fourth Proportional to 105,498.92, 145,575.60 and 84,043.32

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Solution

The fourth proportional to 105,498.92, 145,575.60 and 84,043.32 is: 115,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,498.92 : 145,575.60 = 84,043.32 : x
  2. Step 2: Convert to fraction form
    105,498.92/145,575.60 = 84,043.32/x
  3. Step 3: Cross multiply
    105,498.92x = 145,575.60 × 84,043.32
  4. Step 4: Simplify right side
    105,498.92x = 12,234,656,734.99
  5. Step 5: Solve for x
    x = 12,234,656,734.99/105,498.92
  6. Step 6: Final answer
    x = 115,969.50

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1.5x scale

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.