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Finding the Fourth Proportional to 65,113.75, 97,670.53 and 42,765.49

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Solution

The fourth proportional to 65,113.75, 97,670.53 and 42,765.49 is: 64,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,113.75 : 97,670.53 = 42,765.49 : x
  2. Step 2: Convert to fraction form
    65,113.75/97,670.53 = 42,765.49/x
  3. Step 3: Cross multiply
    65,113.75x = 97,670.53 × 42,765.49
  4. Step 4: Simplify right side
    65,113.75x = 4,176,928,074.01
  5. Step 5: Solve for x
    x = 4,176,928,074.01/65,113.75
  6. Step 6: Final answer
    x = 64,148.17

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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.