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Finding the Fourth Proportional to 51,920.40, 77,729.40 and 38,830.80

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Solution

The fourth proportional to 51,920.40, 77,729.40 and 38,830.80 is: 58,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920.40 : 77,729.40 = 38,830.80 : x
  2. Step 2: Convert to fraction form
    51,920.40/77,729.40 = 38,830.80/x
  3. Step 3: Cross multiply
    51,920.40x = 77,729.40 × 38,830.80
  4. Step 4: Simplify right side
    51,920.40x = 3,018,294,785.52
  5. Step 5: Solve for x
    x = 3,018,294,785.52/51,920.40
  6. Step 6: Final answer
    x = 58,133.12

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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.