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Finding the Fourth Proportional to 65,254.50, 97,881.75 and 28,318.50

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Solution

The fourth proportional to 65,254.50, 97,881.75 and 28,318.50 is: 42,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,254.50 : 97,881.75 = 28,318.50 : x
  2. Step 2: Convert to fraction form
    65,254.50/97,881.75 = 28,318.50/x
  3. Step 3: Cross multiply
    65,254.50x = 97,881.75 × 28,318.50
  4. Step 4: Simplify right side
    65,254.50x = 2,771,864,337.38
  5. Step 5: Solve for x
    x = 2,771,864,337.38/65,254.50
  6. Step 6: Final answer
    x = 42,477.75

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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.