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Finding the Fourth Proportional to 152,646.30, 210,662.10 and 84,684.87

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Solution

The fourth proportional to 152,646.30, 210,662.10 and 84,684.87 is: 116,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,646.30 : 210,662.10 = 84,684.87 : x
  2. Step 2: Convert to fraction form
    152,646.30/210,662.10 = 84,684.87/x
  3. Step 3: Cross multiply
    152,646.30x = 210,662.10 × 84,684.87
  4. Step 4: Simplify right side
    152,646.30x = 17,839,892,552.43
  5. Step 5: Solve for x
    x = 17,839,892,552.43/152,646.30
  6. Step 6: Final answer
    x = 116,870.78

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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.