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Finding the Fourth Proportional to 153,409.50, 211,523.96 and 105,034.88

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Solution

The fourth proportional to 153,409.50, 211,523.96 and 105,034.88 is: 144,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,409.50 : 211,523.96 = 105,034.88 : x
  2. Step 2: Convert to fraction form
    153,409.50/211,523.96 = 105,034.88/x
  3. Step 3: Cross multiply
    153,409.50x = 211,523.96 × 105,034.88
  4. Step 4: Simplify right side
    153,409.50x = 22,217,393,755.72
  5. Step 5: Solve for x
    x = 22,217,393,755.72/153,409.50
  6. Step 6: Final answer
    x = 144,824.11

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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.