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Finding the Fourth Proportional to 98,496, 147,824.64 and 68,973.12

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Solution

The fourth proportional to 98,496, 147,824.64 and 68,973.12 is: 103,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,496 : 147,824.64 = 68,973.12 : x
  2. Step 2: Convert to fraction form
    98,496/147,824.64 = 68,973.12/x
  3. Step 3: Cross multiply
    98,496x = 147,824.64 × 68,973.12
  4. Step 4: Simplify right side
    98,496x = 10,195,926,633.68
  5. Step 5: Solve for x
    x = 10,195,926,633.68/98,496
  6. Step 6: Final answer
    x = 103,516.15

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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.