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Finding the Fourth Proportional to 82,130.83, 123,177.40 and 22,970.68

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Solution

The fourth proportional to 82,130.83, 123,177.40 and 22,970.68 is: 34,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130.83 : 123,177.40 = 22,970.68 : x
  2. Step 2: Convert to fraction form
    82,130.83/123,177.40 = 22,970.68/x
  3. Step 3: Cross multiply
    82,130.83x = 123,177.40 × 22,970.68
  4. Step 4: Simplify right side
    82,130.83x = 2,829,468,638.63
  5. Step 5: Solve for x
    x = 2,829,468,638.63/82,130.83
  6. Step 6: Final answer
    x = 34,450.75

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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.