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Finding the Fourth Proportional to 210,218.77, 290,417.84 and 137,793.57

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Solution

The fourth proportional to 210,218.77, 290,417.84 and 137,793.57 is: 190,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,218.77 : 290,417.84 = 137,793.57 : x
  2. Step 2: Convert to fraction form
    210,218.77/290,417.84 = 137,793.57/x
  3. Step 3: Cross multiply
    210,218.77x = 290,417.84 × 137,793.57
  4. Step 4: Simplify right side
    210,218.77x = 40,017,710,965.29
  5. Step 5: Solve for x
    x = 40,017,710,965.29/210,218.77
  6. Step 6: Final answer
    x = 190,362.22

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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.