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Finding the Fourth Proportional to 71,038.60, 106,539.40 and 21,106.96

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Solution

The fourth proportional to 71,038.60, 106,539.40 and 21,106.96 is: 31,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,038.60 : 106,539.40 = 21,106.96 : x
  2. Step 2: Convert to fraction form
    71,038.60/106,539.40 = 21,106.96/x
  3. Step 3: Cross multiply
    71,038.60x = 106,539.40 × 21,106.96
  4. Step 4: Simplify right side
    71,038.60x = 2,248,722,854.22
  5. Step 5: Solve for x
    x = 2,248,722,854.22/71,038.60
  6. Step 6: Final answer
    x = 31,654.94

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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.