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Finding the Fourth Proportional to 190,954.80, 286,043.40 and 97,513.20

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Solution

The fourth proportional to 190,954.80, 286,043.40 and 97,513.20 is: 146,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,954.80 : 286,043.40 = 97,513.20 : x
  2. Step 2: Convert to fraction form
    190,954.80/286,043.40 = 97,513.20/x
  3. Step 3: Cross multiply
    190,954.80x = 286,043.40 × 97,513.20
  4. Step 4: Simplify right side
    190,954.80x = 27,893,007,272.88
  5. Step 5: Solve for x
    x = 27,893,007,272.88/190,954.80
  6. Step 6: Final answer
    x = 146,071.25

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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.