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Finding the Fourth Proportional to 119,306, 164,638.08 and 65,590.63

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Solution

The fourth proportional to 119,306, 164,638.08 and 65,590.63 is: 90,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,306 : 164,638.08 = 65,590.63 : x
  2. Step 2: Convert to fraction form
    119,306/164,638.08 = 65,590.63/x
  3. Step 3: Cross multiply
    119,306x = 164,638.08 × 65,590.63
  4. Step 4: Simplify right side
    119,306x = 10,798,715,389.19
  5. Step 5: Solve for x
    x = 10,798,715,389.19/119,306
  6. Step 6: Final answer
    x = 90,512.76

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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.