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Finding the Fourth Proportional to 152,768.95, 210,823.43 and 84,790.31

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Solution

The fourth proportional to 152,768.95, 210,823.43 and 84,790.31 is: 117,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,768.95 : 210,823.43 = 84,790.31 : x
  2. Step 2: Convert to fraction form
    152,768.95/210,823.43 = 84,790.31/x
  3. Step 3: Cross multiply
    152,768.95x = 210,823.43 × 84,790.31
  4. Step 4: Simplify right side
    152,768.95x = 17,875,782,506.89
  5. Step 5: Solve for x
    x = 17,875,782,506.89/152,768.95
  6. Step 6: Final answer
    x = 117,011.88

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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.