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Finding the Fourth Proportional to 206,830.80, 310,303.80 and 101,653.20

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Solution

The fourth proportional to 206,830.80, 310,303.80 and 101,653.20 is: 152,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,830.80 : 310,303.80 = 101,653.20 : x
  2. Step 2: Convert to fraction form
    206,830.80/310,303.80 = 101,653.20/x
  3. Step 3: Cross multiply
    206,830.80x = 310,303.80 × 101,653.20
  4. Step 4: Simplify right side
    206,830.80x = 31,543,374,242.16
  5. Step 5: Solve for x
    x = 31,543,374,242.16/206,830.80
  6. Step 6: Final answer
    x = 152,508.11

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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.