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Finding the Fourth Proportional to 134,689.80, 201,948.30 and 55,835.40

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Solution

The fourth proportional to 134,689.80, 201,948.30 and 55,835.40 is: 83,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,689.80 : 201,948.30 = 55,835.40 : x
  2. Step 2: Convert to fraction form
    134,689.80/201,948.30 = 55,835.40/x
  3. Step 3: Cross multiply
    134,689.80x = 201,948.30 × 55,835.40
  4. Step 4: Simplify right side
    134,689.80x = 11,275,864,109.82
  5. Step 5: Solve for x
    x = 11,275,864,109.82/134,689.80
  6. Step 6: Final answer
    x = 83,717.28

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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.