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Finding the Fourth Proportional to 207,851.32, 286,832.70 and 115,971.40

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Solution

The fourth proportional to 207,851.32, 286,832.70 and 115,971.40 is: 160,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,851.32 : 286,832.70 = 115,971.40 : x
  2. Step 2: Convert to fraction form
    207,851.32/286,832.70 = 115,971.40/x
  3. Step 3: Cross multiply
    207,851.32x = 286,832.70 × 115,971.40
  4. Step 4: Simplify right side
    207,851.32x = 33,264,389,784.78
  5. Step 5: Solve for x
    x = 33,264,389,784.78/207,851.32
  6. Step 6: Final answer
    x = 160,039.35

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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.