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Finding the Fourth Proportional to 65,534.40, 98,312.40 and 21,172.32

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Solution

The fourth proportional to 65,534.40, 98,312.40 and 21,172.32 is: 31,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,534.40 : 98,312.40 = 21,172.32 : x
  2. Step 2: Convert to fraction form
    65,534.40/98,312.40 = 21,172.32/x
  3. Step 3: Cross multiply
    65,534.40x = 98,312.40 × 21,172.32
  4. Step 4: Simplify right side
    65,534.40x = 2,081,501,592.77
  5. Step 5: Solve for x
    x = 2,081,501,592.77/65,534.40
  6. Step 6: Final answer
    x = 31,761.97

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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.