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Finding the Fourth Proportional to 152,157.66, 209,973.78 and 84,178.42

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Solution

The fourth proportional to 152,157.66, 209,973.78 and 84,178.42 is: 116,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,157.66 : 209,973.78 = 84,178.42 : x
  2. Step 2: Convert to fraction form
    152,157.66/209,973.78 = 84,178.42/x
  3. Step 3: Cross multiply
    152,157.66x = 209,973.78 × 84,178.42
  4. Step 4: Simplify right side
    152,157.66x = 17,675,261,041.83
  5. Step 5: Solve for x
    x = 17,675,261,041.83/152,157.66
  6. Step 6: Final answer
    x = 116,164.12

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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.