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Finding the Fourth Proportional to 119,314.50, 164,657.87 and 65,603.40

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Solution

The fourth proportional to 119,314.50, 164,657.87 and 65,603.40 is: 90,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,314.50 : 164,657.87 = 65,603.40 : x
  2. Step 2: Convert to fraction form
    119,314.50/164,657.87 = 65,603.40/x
  3. Step 3: Cross multiply
    119,314.50x = 164,657.87 × 65,603.40
  4. Step 4: Simplify right side
    119,314.50x = 10,802,115,780.74
  5. Step 5: Solve for x
    x = 10,802,115,780.74/119,314.50
  6. Step 6: Final answer
    x = 90,534.81

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1.5x scale

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.