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Finding the Fourth Proportional to 213,470.28, 319,950.94 and 99,465.16

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Solution

The fourth proportional to 213,470.28, 319,950.94 and 99,465.16 is: 149,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,470.28 : 319,950.94 = 99,465.16 : x
  2. Step 2: Convert to fraction form
    213,470.28/319,950.94 = 99,465.16/x
  3. Step 3: Cross multiply
    213,470.28x = 319,950.94 × 99,465.16
  4. Step 4: Simplify right side
    213,470.28x = 31,823,971,439.25
  5. Step 5: Solve for x
    x = 31,823,971,439.25/213,470.28
  6. Step 6: Final answer
    x = 149,079.17

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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.