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Finding the Fourth Proportional to 119,279.77, 164,603.95 and 65,564.80

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Solution

The fourth proportional to 119,279.77, 164,603.95 and 65,564.80 is: 90,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,279.77 : 164,603.95 = 65,564.80 : x
  2. Step 2: Convert to fraction form
    119,279.77/164,603.95 = 65,564.80/x
  3. Step 3: Cross multiply
    119,279.77x = 164,603.95 × 65,564.80
  4. Step 4: Simplify right side
    119,279.77x = 10,792,225,060.96
  5. Step 5: Solve for x
    x = 10,792,225,060.96/119,279.77
  6. Step 6: Final answer
    x = 90,478.25

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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.