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Finding the Fourth Proportional to 138,967.81, 207,953.43 and 120,312.01

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Solution

The fourth proportional to 138,967.81, 207,953.43 and 120,312.01 is: 180,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,967.81 : 207,953.43 = 120,312.01 : x
  2. Step 2: Convert to fraction form
    138,967.81/207,953.43 = 120,312.01/x
  3. Step 3: Cross multiply
    138,967.81x = 207,953.43 × 120,312.01
  4. Step 4: Simplify right side
    138,967.81x = 25,019,295,149.69
  5. Step 5: Solve for x
    x = 25,019,295,149.69/138,967.81
  6. Step 6: Final answer
    x = 180,036.62

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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.