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Finding the Fourth Proportional to 152,800.65, 210,863.79 and 84,815.28

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Solution

The fourth proportional to 152,800.65, 210,863.79 and 84,815.28 is: 117,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,800.65 : 210,863.79 = 84,815.28 : x
  2. Step 2: Convert to fraction form
    152,800.65/210,863.79 = 84,815.28/x
  3. Step 3: Cross multiply
    152,800.65x = 210,863.79 × 84,815.28
  4. Step 4: Simplify right side
    152,800.65x = 17,884,471,390.71
  5. Step 5: Solve for x
    x = 17,884,471,390.71/152,800.65
  6. Step 6: Final answer
    x = 117,044.47

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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.