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Finding the Fourth Proportional to 70,492.16, 105,739.28 and 20,572.48

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Solution

The fourth proportional to 70,492.16, 105,739.28 and 20,572.48 is: 30,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.16 : 105,739.28 = 20,572.48 : x
  2. Step 2: Convert to fraction form
    70,492.16/105,739.28 = 20,572.48/x
  3. Step 3: Cross multiply
    70,492.16x = 105,739.28 × 20,572.48
  4. Step 4: Simplify right side
    70,492.16x = 2,175,319,223.01
  5. Step 5: Solve for x
    x = 2,175,319,223.01/70,492.16
  6. Step 6: Final answer
    x = 30,859.02

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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.