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Finding the Fourth Proportional to 65,476.16, 98,148.48 and 21,070.28

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Solution

The fourth proportional to 65,476.16, 98,148.48 and 21,070.28 is: 31,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,476.16 : 98,148.48 = 21,070.28 : x
  2. Step 2: Convert to fraction form
    65,476.16/98,148.48 = 21,070.28/x
  3. Step 3: Cross multiply
    65,476.16x = 98,148.48 × 21,070.28
  4. Step 4: Simplify right side
    65,476.16x = 2,068,015,955.17
  5. Step 5: Solve for x
    x = 2,068,015,955.17/65,476.16
  6. Step 6: Final answer
    x = 31,584.26

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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.