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Finding the Fourth Proportional to 105,467.64, 145,478.16 and 73,624.92

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Solution

The fourth proportional to 105,467.64, 145,478.16 and 73,624.92 is: 101,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,467.64 : 145,478.16 = 73,624.92 : x
  2. Step 2: Convert to fraction form
    105,467.64/145,478.16 = 73,624.92/x
  3. Step 3: Cross multiply
    105,467.64x = 145,478.16 × 73,624.92
  4. Step 4: Simplify right side
    105,467.64x = 10,710,817,891.75
  5. Step 5: Solve for x
    x = 10,710,817,891.75/105,467.64
  6. Step 6: Final answer
    x = 101,555.49

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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.