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Finding the Fourth Proportional to 194,985.20, 292,477.80 and 145,218.80

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Solution

The fourth proportional to 194,985.20, 292,477.80 and 145,218.80 is: 217,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,985.20 : 292,477.80 = 145,218.80 : x
  2. Step 2: Convert to fraction form
    194,985.20/292,477.80 = 145,218.80/x
  3. Step 3: Cross multiply
    194,985.20x = 292,477.80 × 145,218.80
  4. Step 4: Simplify right side
    194,985.20x = 42,473,275,142.64
  5. Step 5: Solve for x
    x = 42,473,275,142.64/194,985.20
  6. Step 6: Final answer
    x = 217,828.20

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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.