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Finding the Fourth Proportional to 120,864.10, 169,384.70 and 120,864.10

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Solution

The fourth proportional to 120,864.10, 169,384.70 and 120,864.10 is: 169,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,864.10 : 169,384.70 = 120,864.10 : x
  2. Step 2: Convert to fraction form
    120,864.10/169,384.70 = 120,864.10/x
  3. Step 3: Cross multiply
    120,864.10x = 169,384.70 × 120,864.10
  4. Step 4: Simplify right side
    120,864.10x = 20,472,529,319.27
  5. Step 5: Solve for x
    x = 20,472,529,319.27/120,864.10
  6. Step 6: Final answer
    x = 169,384.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.