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Finding the Fourth Proportional to 65,228.20, 97,842.30 and 15,980.20

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Solution

The fourth proportional to 65,228.20, 97,842.30 and 15,980.20 is: 23,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228.20 : 97,842.30 = 15,980.20 : x
  2. Step 2: Convert to fraction form
    65,228.20/97,842.30 = 15,980.20/x
  3. Step 3: Cross multiply
    65,228.20x = 97,842.30 × 15,980.20
  4. Step 4: Simplify right side
    65,228.20x = 1,563,539,522.46
  5. Step 5: Solve for x
    x = 1,563,539,522.46/65,228.20
  6. Step 6: Final answer
    x = 23,970.30

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1.5x scale

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.