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Finding the Fourth Proportional to 119,157.89, 164,437.97 and 65,445.57

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Solution

The fourth proportional to 119,157.89, 164,437.97 and 65,445.57 is: 90,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,157.89 : 164,437.97 = 65,445.57 : x
  2. Step 2: Convert to fraction form
    119,157.89/164,437.97 = 65,445.57/x
  3. Step 3: Cross multiply
    119,157.89x = 164,437.97 × 65,445.57
  4. Step 4: Simplify right side
    119,157.89x = 10,761,736,349.07
  5. Step 5: Solve for x
    x = 10,761,736,349.07/119,157.89
  6. Step 6: Final answer
    x = 90,314.93

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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.