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Finding the Fourth Proportional to 207,947.64, 286,968.40 and 112,455

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Solution

The fourth proportional to 207,947.64, 286,968.40 and 112,455 is: 155,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,947.64 : 286,968.40 = 112,455 : x
  2. Step 2: Convert to fraction form
    207,947.64/286,968.40 = 112,455/x
  3. Step 3: Cross multiply
    207,947.64x = 286,968.40 × 112,455
  4. Step 4: Simplify right side
    207,947.64x = 32,271,031,422.00
  5. Step 5: Solve for x
    x = 32,271,031,422.00/207,947.64
  6. Step 6: Final answer
    x = 155,188.26

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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.