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Finding the Fourth Proportional to 153,409.75, 211,524.30 and 105,035.13

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Solution

The fourth proportional to 153,409.75, 211,524.30 and 105,035.13 is: 144,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,409.75 : 211,524.30 = 105,035.13 : x
  2. Step 2: Convert to fraction form
    153,409.75/211,524.30 = 105,035.13/x
  3. Step 3: Cross multiply
    153,409.75x = 211,524.30 × 105,035.13
  4. Step 4: Simplify right side
    153,409.75x = 22,217,482,348.66
  5. Step 5: Solve for x
    x = 22,217,482,348.66/153,409.75
  6. Step 6: Final answer
    x = 144,824.45

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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.