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Finding the Fourth Proportional to 98,457, 147,694.64 and 76,295.17

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Solution

The fourth proportional to 98,457, 147,694.64 and 76,295.17 is: 114,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,457 : 147,694.64 = 76,295.17 : x
  2. Step 2: Convert to fraction form
    98,457/147,694.64 = 76,295.17/x
  3. Step 3: Cross multiply
    98,457x = 147,694.64 × 76,295.17
  4. Step 4: Simplify right side
    98,457x = 11,268,387,666.89
  5. Step 5: Solve for x
    x = 11,268,387,666.89/98,457
  6. Step 6: Final answer
    x = 114,449.84

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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.