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Finding the Fourth Proportional to 61,006.72, 91,512.64 and 21,564.16

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Solution

The fourth proportional to 61,006.72, 91,512.64 and 21,564.16 is: 32,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,006.72 : 91,512.64 = 21,564.16 : x
  2. Step 2: Convert to fraction form
    61,006.72/91,512.64 = 21,564.16/x
  3. Step 3: Cross multiply
    61,006.72x = 91,512.64 × 21,564.16
  4. Step 4: Simplify right side
    61,006.72x = 1,973,393,210.98
  5. Step 5: Solve for x
    x = 1,973,393,210.98/61,006.72
  6. Step 6: Final answer
    x = 32,347.14

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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.