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Finding the Fourth Proportional to 213,709.86, 320,471.28 and 101,422.26

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Solution

The fourth proportional to 213,709.86, 320,471.28 and 101,422.26 is: 152,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,709.86 : 320,471.28 = 101,422.26 : x
  2. Step 2: Convert to fraction form
    213,709.86/320,471.28 = 101,422.26/x
  3. Step 3: Cross multiply
    213,709.86x = 320,471.28 × 101,422.26
  4. Step 4: Simplify right side
    213,709.86x = 32,502,921,482.69
  5. Step 5: Solve for x
    x = 32,502,921,482.69/213,709.86
  6. Step 6: Final answer
    x = 152,089.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.