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Finding the Fourth Proportional to 560,108.28, 840,162.62 and 139,384.16

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Solution

The fourth proportional to 560,108.28, 840,162.62 and 139,384.16 is: 209,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,108.28 : 840,162.62 = 139,384.16 : x
  2. Step 2: Convert to fraction form
    560,108.28/840,162.62 = 139,384.16/x
  3. Step 3: Cross multiply
    560,108.28x = 840,162.62 × 139,384.16
  4. Step 4: Simplify right side
    560,108.28x = 117,105,361,052.10
  5. Step 5: Solve for x
    x = 117,105,361,052.10/560,108.28
  6. Step 6: Final answer
    x = 209,076.29

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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.