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Finding the Fourth Proportional to 196,720.80, 294,643.80 and 152,203.20

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Solution

The fourth proportional to 196,720.80, 294,643.80 and 152,203.20 is: 227,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,720.80 : 294,643.80 = 152,203.20 : x
  2. Step 2: Convert to fraction form
    196,720.80/294,643.80 = 152,203.20/x
  3. Step 3: Cross multiply
    196,720.80x = 294,643.80 × 152,203.20
  4. Step 4: Simplify right side
    196,720.80x = 44,845,729,220.16
  5. Step 5: Solve for x
    x = 44,845,729,220.16/196,720.80
  6. Step 6: Final answer
    x = 227,966.38

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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.