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Finding the Fourth Proportional to 119,397.09, 164,762.78 and 65,678.70

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Solution

The fourth proportional to 119,397.09, 164,762.78 and 65,678.70 is: 90,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,397.09 : 164,762.78 = 65,678.70 : x
  2. Step 2: Convert to fraction form
    119,397.09/164,762.78 = 65,678.70/x
  3. Step 3: Cross multiply
    119,397.09x = 164,762.78 × 65,678.70
  4. Step 4: Simplify right side
    119,397.09x = 10,821,404,539.17
  5. Step 5: Solve for x
    x = 10,821,404,539.17/119,397.09
  6. Step 6: Final answer
    x = 90,633.74

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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.