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Finding the Fourth Proportional to 206,897.12, 310,499.70 and 153,712.92

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Solution

The fourth proportional to 206,897.12, 310,499.70 and 153,712.92 is: 230,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,897.12 : 310,499.70 = 153,712.92 : x
  2. Step 2: Convert to fraction form
    206,897.12/310,499.70 = 153,712.92/x
  3. Step 3: Cross multiply
    206,897.12x = 310,499.70 × 153,712.92
  4. Step 4: Simplify right side
    206,897.12x = 47,727,816,134.07
  5. Step 5: Solve for x
    x = 47,727,816,134.07/206,897.12
  6. Step 6: Final answer
    x = 230,683.81

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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.