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Finding the Fourth Proportional to 145,963.95, 218,814.15 and 52,447.83

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Solution

The fourth proportional to 145,963.95, 218,814.15 and 52,447.83 is: 78,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,963.95 : 218,814.15 = 52,447.83 : x
  2. Step 2: Convert to fraction form
    145,963.95/218,814.15 = 52,447.83/x
  3. Step 3: Cross multiply
    145,963.95x = 218,814.15 × 52,447.83
  4. Step 4: Simplify right side
    145,963.95x = 11,476,327,340.79
  5. Step 5: Solve for x
    x = 11,476,327,340.79/145,963.95
  6. Step 6: Final answer
    x = 78,624.40

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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.