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Finding the Fourth Proportional to 159,477, 220,088.34 and 87,857.16

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Solution

The fourth proportional to 159,477, 220,088.34 and 87,857.16 is: 121,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,477 : 220,088.34 = 87,857.16 : x
  2. Step 2: Convert to fraction form
    159,477/220,088.34 = 87,857.16/x
  3. Step 3: Cross multiply
    159,477x = 220,088.34 × 87,857.16
  4. Step 4: Simplify right side
    159,477x = 19,336,336,501.51
  5. Step 5: Solve for x
    x = 19,336,336,501.51/159,477
  6. Step 6: Final answer
    x = 121,248.43

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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.