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Finding the Fourth Proportional to 145,462.94, 217,727.69 and 77,825.77

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Solution

The fourth proportional to 145,462.94, 217,727.69 and 77,825.77 is: 116,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,462.94 : 217,727.69 = 77,825.77 : x
  2. Step 2: Convert to fraction form
    145,462.94/217,727.69 = 77,825.77/x
  3. Step 3: Cross multiply
    145,462.94x = 217,727.69 × 77,825.77
  4. Step 4: Simplify right side
    145,462.94x = 16,944,824,191.12
  5. Step 5: Solve for x
    x = 16,944,824,191.12/145,462.94
  6. Step 6: Final answer
    x = 116,488.95

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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.