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Finding the Fourth Proportional to 139,984.85, 209,485.20 and 97,666.40

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Solution

The fourth proportional to 139,984.85, 209,485.20 and 97,666.40 is: 146,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,984.85 : 209,485.20 = 97,666.40 : x
  2. Step 2: Convert to fraction form
    139,984.85/209,485.20 = 97,666.40/x
  3. Step 3: Cross multiply
    139,984.85x = 209,485.20 × 97,666.40
  4. Step 4: Simplify right side
    139,984.85x = 20,459,665,337.28
  5. Step 5: Solve for x
    x = 20,459,665,337.28/139,984.85
  6. Step 6: Final answer
    x = 146,156.28

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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.