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Finding the Fourth Proportional to 109,920.64, 164,894.16 and 38,828.68

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Solution

The fourth proportional to 109,920.64, 164,894.16 and 38,828.68 is: 58,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,920.64 : 164,894.16 = 38,828.68 : x
  2. Step 2: Convert to fraction form
    109,920.64/164,894.16 = 38,828.68/x
  3. Step 3: Cross multiply
    109,920.64x = 164,894.16 × 38,828.68
  4. Step 4: Simplify right side
    109,920.64x = 6,402,622,572.51
  5. Step 5: Solve for x
    x = 6,402,622,572.51/109,920.64
  6. Step 6: Final answer
    x = 58,247.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.