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Finding the Fourth Proportional to 206,656.40, 310,027.80 and 66,429.20

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Solution

The fourth proportional to 206,656.40, 310,027.80 and 66,429.20 is: 99,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,656.40 : 310,027.80 = 66,429.20 : x
  2. Step 2: Convert to fraction form
    206,656.40/310,027.80 = 66,429.20/x
  3. Step 3: Cross multiply
    206,656.40x = 310,027.80 × 66,429.20
  4. Step 4: Simplify right side
    206,656.40x = 20,594,898,731.76
  5. Step 5: Solve for x
    x = 20,594,898,731.76/206,656.40
  6. Step 6: Final answer
    x = 99,657.69

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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.