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Finding the Fourth Proportional to 159,768.04, 221,411.94 and 157,513

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Solution

The fourth proportional to 159,768.04, 221,411.94 and 157,513 is: 218,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,768.04 : 221,411.94 = 157,513 : x
  2. Step 2: Convert to fraction form
    159,768.04/221,411.94 = 157,513/x
  3. Step 3: Cross multiply
    159,768.04x = 221,411.94 × 157,513
  4. Step 4: Simplify right side
    159,768.04x = 34,875,258,117.66
  5. Step 5: Solve for x
    x = 34,875,258,117.66/159,768.04
  6. Step 6: Final answer
    x = 218,286.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.