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Finding the Fourth Proportional to 119,349.74, 164,702.70 and 65,638.40

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Solution

The fourth proportional to 119,349.74, 164,702.70 and 65,638.40 is: 90,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,349.74 : 164,702.70 = 65,638.40 : x
  2. Step 2: Convert to fraction form
    119,349.74/164,702.70 = 65,638.40/x
  3. Step 3: Cross multiply
    119,349.74x = 164,702.70 × 65,638.40
  4. Step 4: Simplify right side
    119,349.74x = 10,810,821,703.68
  5. Step 5: Solve for x
    x = 10,810,821,703.68/119,349.74
  6. Step 6: Final answer
    x = 90,581.02

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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.