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Finding the Fourth Proportional to 51,409.40, 77,042.10 and 40,897.40

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Solution

The fourth proportional to 51,409.40, 77,042.10 and 40,897.40 is: 61,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.40 : 77,042.10 = 40,897.40 : x
  2. Step 2: Convert to fraction form
    51,409.40/77,042.10 = 40,897.40/x
  3. Step 3: Cross multiply
    51,409.40x = 77,042.10 × 40,897.40
  4. Step 4: Simplify right side
    51,409.40x = 3,150,821,580.54
  5. Step 5: Solve for x
    x = 3,150,821,580.54/51,409.40
  6. Step 6: Final answer
    x = 61,288.82

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1.5x scale

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.