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Finding the Fourth Proportional to 65,369.64, 98,064.18 and 30,312.84

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Solution

The fourth proportional to 65,369.64, 98,064.18 and 30,312.84 is: 45,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,369.64 : 98,064.18 = 30,312.84 : x
  2. Step 2: Convert to fraction form
    65,369.64/98,064.18 = 30,312.84/x
  3. Step 3: Cross multiply
    65,369.64x = 98,064.18 × 30,312.84
  4. Step 4: Simplify right side
    65,369.64x = 2,972,603,798.07
  5. Step 5: Solve for x
    x = 2,972,603,798.07/65,369.64
  6. Step 6: Final answer
    x = 45,473.77

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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.