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Finding the Fourth Proportional to 105,084.63, 145,016.64 and 67,358.88

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Solution

The fourth proportional to 105,084.63, 145,016.64 and 67,358.88 is: 92,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,084.63 : 145,016.64 = 67,358.88 : x
  2. Step 2: Convert to fraction form
    105,084.63/145,016.64 = 67,358.88/x
  3. Step 3: Cross multiply
    105,084.63x = 145,016.64 × 67,358.88
  4. Step 4: Simplify right side
    105,084.63x = 9,768,158,451.76
  5. Step 5: Solve for x
    x = 9,768,158,451.76/105,084.63
  6. Step 6: Final answer
    x = 92,955.16

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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.