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Finding the Fourth Proportional to 64,951.84, 97,430.50 and 20,577.61

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Solution

The fourth proportional to 64,951.84, 97,430.50 and 20,577.61 is: 30,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,951.84 : 97,430.50 = 20,577.61 : x
  2. Step 2: Convert to fraction form
    64,951.84/97,430.50 = 20,577.61/x
  3. Step 3: Cross multiply
    64,951.84x = 97,430.50 × 20,577.61
  4. Step 4: Simplify right side
    64,951.84x = 2,004,886,862.87
  5. Step 5: Solve for x
    x = 2,004,886,862.87/64,951.84
  6. Step 6: Final answer
    x = 30,867.28

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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.