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Finding the Fourth Proportional to 207,949.64, 286,971.16 and 112,457

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Solution

The fourth proportional to 207,949.64, 286,971.16 and 112,457 is: 155,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,949.64 : 286,971.16 = 112,457 : x
  2. Step 2: Convert to fraction form
    207,949.64/286,971.16 = 112,457/x
  3. Step 3: Cross multiply
    207,949.64x = 286,971.16 × 112,457
  4. Step 4: Simplify right side
    207,949.64x = 32,271,915,740.12
  5. Step 5: Solve for x
    x = 32,271,915,740.12/207,949.64
  6. Step 6: Final answer
    x = 155,191.02

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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.