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Finding the Fourth Proportional to 210,008.94, 289,805.94 and 114,517.50

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Solution

The fourth proportional to 210,008.94, 289,805.94 and 114,517.50 is: 158,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,008.94 : 289,805.94 = 114,517.50 : x
  2. Step 2: Convert to fraction form
    210,008.94/289,805.94 = 114,517.50/x
  3. Step 3: Cross multiply
    210,008.94x = 289,805.94 × 114,517.50
  4. Step 4: Simplify right side
    210,008.94x = 33,187,851,733.95
  5. Step 5: Solve for x
    x = 33,187,851,733.95/210,008.94
  6. Step 6: Final answer
    x = 158,030.66

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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.