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Finding the Fourth Proportional to 65,368.30, 98,039.53 and 17,971.16

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Solution

The fourth proportional to 65,368.30, 98,039.53 and 17,971.16 is: 26,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,368.30 : 98,039.53 = 17,971.16 : x
  2. Step 2: Convert to fraction form
    65,368.30/98,039.53 = 17,971.16/x
  3. Step 3: Cross multiply
    65,368.30x = 98,039.53 × 17,971.16
  4. Step 4: Simplify right side
    65,368.30x = 1,761,884,079.95
  5. Step 5: Solve for x
    x = 1,761,884,079.95/65,368.30
  6. Step 6: Final answer
    x = 26,953.19

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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.