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Finding the Fourth Proportional to 210,833.88, 290,957.64 and 115,340.58

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Solution

The fourth proportional to 210,833.88, 290,957.64 and 115,340.58 is: 159,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,833.88 : 290,957.64 = 115,340.58 : x
  2. Step 2: Convert to fraction form
    210,833.88/290,957.64 = 115,340.58/x
  3. Step 3: Cross multiply
    210,833.88x = 290,957.64 × 115,340.58
  4. Step 4: Simplify right side
    210,833.88x = 33,559,222,953.03
  5. Step 5: Solve for x
    x = 33,559,222,953.03/210,833.88
  6. Step 6: Final answer
    x = 159,173.77

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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.