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Finding the Fourth Proportional to 257,703.37, 386,610.62 and 77,773.76

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Solution

The fourth proportional to 257,703.37, 386,610.62 and 77,773.76 is: 116,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,703.37 : 386,610.62 = 77,773.76 : x
  2. Step 2: Convert to fraction form
    257,703.37/386,610.62 = 77,773.76/x
  3. Step 3: Cross multiply
    257,703.37x = 386,610.62 × 77,773.76
  4. Step 4: Simplify right side
    257,703.37x = 30,068,160,227.67
  5. Step 5: Solve for x
    x = 30,068,160,227.67/257,703.37
  6. Step 6: Final answer
    x = 116,677.40

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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.