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Finding the Fourth Proportional to 152,153.66, 209,968.26 and 84,174.42

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Solution

The fourth proportional to 152,153.66, 209,968.26 and 84,174.42 is: 116,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,153.66 : 209,968.26 = 84,174.42 : x
  2. Step 2: Convert to fraction form
    152,153.66/209,968.26 = 84,174.42/x
  3. Step 3: Cross multiply
    152,153.66x = 209,968.26 × 84,174.42
  4. Step 4: Simplify right side
    152,153.66x = 17,673,956,503.91
  5. Step 5: Solve for x
    x = 17,673,956,503.91/152,153.66
  6. Step 6: Final answer
    x = 116,158.60

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1.5x scale

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.