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Finding the Fourth Proportional to 119,138.79, 164,412.67 and 65,424.93

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Solution

The fourth proportional to 119,138.79, 164,412.67 and 65,424.93 is: 90,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,138.79 : 164,412.67 = 65,424.93 : x
  2. Step 2: Convert to fraction form
    119,138.79/164,412.67 = 65,424.93/x
  3. Step 3: Cross multiply
    119,138.79x = 164,412.67 × 65,424.93
  4. Step 4: Simplify right side
    119,138.79x = 10,756,687,425.86
  5. Step 5: Solve for x
    x = 10,756,687,425.86/119,138.79
  6. Step 6: Final answer
    x = 90,287.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.