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Finding the Fourth Proportional to 81,587.68, 122,118.84 and 42,090.40

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Solution

The fourth proportional to 81,587.68, 122,118.84 and 42,090.40 is: 63,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,587.68 : 122,118.84 = 42,090.40 : x
  2. Step 2: Convert to fraction form
    81,587.68/122,118.84 = 42,090.40/x
  3. Step 3: Cross multiply
    81,587.68x = 122,118.84 × 42,090.40
  4. Step 4: Simplify right side
    81,587.68x = 5,140,030,823.14
  5. Step 5: Solve for x
    x = 5,140,030,823.14/81,587.68
  6. Step 6: Final answer
    x = 63,000.09

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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.