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Finding the Fourth Proportional to 259,410, 357,985.80 and 140,178

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Solution

The fourth proportional to 259,410, 357,985.80 and 140,178 is: 193,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410 : 357,985.80 = 140,178 : x
  2. Step 2: Convert to fraction form
    259,410/357,985.80 = 140,178/x
  3. Step 3: Cross multiply
    259,410x = 357,985.80 × 140,178
  4. Step 4: Simplify right side
    259,410x = 50,181,733,472.40
  5. Step 5: Solve for x
    x = 50,181,733,472.40/259,410
  6. Step 6: Final answer
    x = 193,445.64

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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.