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Finding the Fourth Proportional to 213,615.20, 320,038.80 and 102,562.40

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Solution

The fourth proportional to 213,615.20, 320,038.80 and 102,562.40 is: 153,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,615.20 : 320,038.80 = 102,562.40 : x
  2. Step 2: Convert to fraction form
    213,615.20/320,038.80 = 102,562.40/x
  3. Step 3: Cross multiply
    213,615.20x = 320,038.80 × 102,562.40
  4. Step 4: Simplify right side
    213,615.20x = 32,823,947,421.12
  5. Step 5: Solve for x
    x = 32,823,947,421.12/213,615.20
  6. Step 6: Final answer
    x = 153,659.23

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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.