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Finding the Fourth Proportional to 134,465.40, 201,698.10 and 40,971.15

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Solution

The fourth proportional to 134,465.40, 201,698.10 and 40,971.15 is: 61,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,465.40 : 201,698.10 = 40,971.15 : x
  2. Step 2: Convert to fraction form
    134,465.40/201,698.10 = 40,971.15/x
  3. Step 3: Cross multiply
    134,465.40x = 201,698.10 × 40,971.15
  4. Step 4: Simplify right side
    134,465.40x = 8,263,803,109.82
  5. Step 5: Solve for x
    x = 8,263,803,109.82/134,465.40
  6. Step 6: Final answer
    x = 61,456.73

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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.