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Finding the Fourth Proportional to 67,830.20, 101,745.30 and 57,807.80

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Solution

The fourth proportional to 67,830.20, 101,745.30 and 57,807.80 is: 86,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830.20 : 101,745.30 = 57,807.80 : x
  2. Step 2: Convert to fraction form
    67,830.20/101,745.30 = 57,807.80/x
  3. Step 3: Cross multiply
    67,830.20x = 101,745.30 × 57,807.80
  4. Step 4: Simplify right side
    67,830.20x = 5,881,671,953.34
  5. Step 5: Solve for x
    x = 5,881,671,953.34/67,830.20
  6. Step 6: Final answer
    x = 86,711.70

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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.