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Finding the Fourth Proportional to 138,317.10, 207,670.05 and 85,829.10

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Solution

The fourth proportional to 138,317.10, 207,670.05 and 85,829.10 is: 128,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,317.10 : 207,670.05 = 85,829.10 : x
  2. Step 2: Convert to fraction form
    138,317.10/207,670.05 = 85,829.10/x
  3. Step 3: Cross multiply
    138,317.10x = 207,670.05 × 85,829.10
  4. Step 4: Simplify right side
    138,317.10x = 17,824,133,488.46
  5. Step 5: Solve for x
    x = 17,824,133,488.46/138,317.10
  6. Step 6: Final answer
    x = 128,864.28

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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.