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Finding the Fourth Proportional to 152,815.65, 210,876.65 and 84,827.72

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Solution

The fourth proportional to 152,815.65, 210,876.65 and 84,827.72 is: 117,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,815.65 : 210,876.65 = 84,827.72 : x
  2. Step 2: Convert to fraction form
    152,815.65/210,876.65 = 84,827.72/x
  3. Step 3: Cross multiply
    152,815.65x = 210,876.65 × 84,827.72
  4. Step 4: Simplify right side
    152,815.65x = 17,888,185,841.90
  5. Step 5: Solve for x
    x = 17,888,185,841.90/152,815.65
  6. Step 6: Final answer
    x = 117,057.29

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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.