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Finding the Fourth Proportional to 207,878.14, 286,871.86 and 112,384.81

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Solution

The fourth proportional to 207,878.14, 286,871.86 and 112,384.81 is: 155,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,878.14 : 286,871.86 = 112,384.81 : x
  2. Step 2: Convert to fraction form
    207,878.14/286,871.86 = 112,384.81/x
  3. Step 3: Cross multiply
    207,878.14x = 286,871.86 × 112,384.81
  4. Step 4: Simplify right side
    207,878.14x = 32,240,039,979.52
  5. Step 5: Solve for x
    x = 32,240,039,979.52/207,878.14
  6. Step 6: Final answer
    x = 155,091.05

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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.