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Finding the Fourth Proportional to 206,985.20, 310,477.80 and 136,126.40

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Solution

The fourth proportional to 206,985.20, 310,477.80 and 136,126.40 is: 204,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,985.20 : 310,477.80 = 136,126.40 : x
  2. Step 2: Convert to fraction form
    206,985.20/310,477.80 = 136,126.40/x
  3. Step 3: Cross multiply
    206,985.20x = 310,477.80 × 136,126.40
  4. Step 4: Simplify right side
    206,985.20x = 42,264,225,193.92
  5. Step 5: Solve for x
    x = 42,264,225,193.92/206,985.20
  6. Step 6: Final answer
    x = 204,189.60

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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.