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Finding the Fourth Proportional to 109,320.80, 163,948.80 and 42,722.60

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Solution

The fourth proportional to 109,320.80, 163,948.80 and 42,722.60 is: 64,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,320.80 : 163,948.80 = 42,722.60 : x
  2. Step 2: Convert to fraction form
    109,320.80/163,948.80 = 42,722.60/x
  3. Step 3: Cross multiply
    109,320.80x = 163,948.80 × 42,722.60
  4. Step 4: Simplify right side
    109,320.80x = 7,004,319,002.88
  5. Step 5: Solve for x
    x = 7,004,319,002.88/109,320.80
  6. Step 6: Final answer
    x = 64,071.24

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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.