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Finding the Fourth Proportional to 210,476.68, 290,462.10 and 114,989.56

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Solution

The fourth proportional to 210,476.68, 290,462.10 and 114,989.56 is: 158,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,476.68 : 290,462.10 = 114,989.56 : x
  2. Step 2: Convert to fraction form
    210,476.68/290,462.10 = 114,989.56/x
  3. Step 3: Cross multiply
    210,476.68x = 290,462.10 × 114,989.56
  4. Step 4: Simplify right side
    210,476.68x = 33,400,109,075.68
  5. Step 5: Solve for x
    x = 33,400,109,075.68/210,476.68
  6. Step 6: Final answer
    x = 158,687.93

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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.