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Finding the Fourth Proportional to 210,833.52, 290,963.16 and 121,438.32

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Solution

The fourth proportional to 210,833.52, 290,963.16 and 121,438.32 is: 167,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,833.52 : 290,963.16 = 121,438.32 : x
  2. Step 2: Convert to fraction form
    210,833.52/290,963.16 = 121,438.32/x
  3. Step 3: Cross multiply
    210,833.52x = 290,963.16 × 121,438.32
  4. Step 4: Simplify right side
    210,833.52x = 35,334,077,332.29
  5. Step 5: Solve for x
    x = 35,334,077,332.29/210,833.52
  6. Step 6: Final answer
    x = 167,592.31

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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.