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Finding the Fourth Proportional to 140,369.61, 193,714.29 and 76,708.47

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Solution

The fourth proportional to 140,369.61, 193,714.29 and 76,708.47 is: 105,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,369.61 : 193,714.29 = 76,708.47 : x
  2. Step 2: Convert to fraction form
    140,369.61/193,714.29 = 76,708.47/x
  3. Step 3: Cross multiply
    140,369.61x = 193,714.29 × 76,708.47
  4. Step 4: Simplify right side
    140,369.61x = 14,859,526,803.04
  5. Step 5: Solve for x
    x = 14,859,526,803.04/140,369.61
  6. Step 6: Final answer
    x = 105,860.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.