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Finding the Fourth Proportional to 109,969.10, 164,807.85 and 97,430.30

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Solution

The fourth proportional to 109,969.10, 164,807.85 and 97,430.30 is: 146,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,969.10 : 164,807.85 = 97,430.30 : x
  2. Step 2: Convert to fraction form
    109,969.10/164,807.85 = 97,430.30/x
  3. Step 3: Cross multiply
    109,969.10x = 164,807.85 × 97,430.30
  4. Step 4: Simplify right side
    109,969.10x = 16,057,278,267.86
  5. Step 5: Solve for x
    x = 16,057,278,267.86/109,969.10
  6. Step 6: Final answer
    x = 146,016.27

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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.