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Finding the Fourth Proportional to 146,533, 202,215.66 and 79,465

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Solution

The fourth proportional to 146,533, 202,215.66 and 79,465 is: 109,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,533 : 202,215.66 = 79,465 : x
  2. Step 2: Convert to fraction form
    146,533/202,215.66 = 79,465/x
  3. Step 3: Cross multiply
    146,533x = 202,215.66 × 79,465
  4. Step 4: Simplify right side
    146,533x = 16,069,067,421.90
  5. Step 5: Solve for x
    x = 16,069,067,421.90/146,533
  6. Step 6: Final answer
    x = 109,661.77

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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.