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Finding the Fourth Proportional to 139,985.40, 209,978.10 and 83,998.20

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Solution

The fourth proportional to 139,985.40, 209,978.10 and 83,998.20 is: 125,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,985.40 : 209,978.10 = 83,998.20 : x
  2. Step 2: Convert to fraction form
    139,985.40/209,978.10 = 83,998.20/x
  3. Step 3: Cross multiply
    139,985.40x = 209,978.10 × 83,998.20
  4. Step 4: Simplify right side
    139,985.40x = 17,637,782,439.42
  5. Step 5: Solve for x
    x = 17,637,782,439.42/139,985.40
  6. Step 6: Final answer
    x = 125,997.30

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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.