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Finding the Fourth Proportional to 65,880, 98,666.24 and 51,041.28

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Solution

The fourth proportional to 65,880, 98,666.24 and 51,041.28 is: 76,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,880 : 98,666.24 = 51,041.28 : x
  2. Step 2: Convert to fraction form
    65,880/98,666.24 = 51,041.28/x
  3. Step 3: Cross multiply
    65,880x = 98,666.24 × 51,041.28
  4. Step 4: Simplify right side
    65,880x = 5,036,051,182.39
  5. Step 5: Solve for x
    x = 5,036,051,182.39/65,880
  6. Step 6: Final answer
    x = 76,442.79

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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.