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Finding the Fourth Proportional to 65,070.36, 89,807.28 and 39,584.64

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Solution

The fourth proportional to 65,070.36, 89,807.28 and 39,584.64 is: 54,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,070.36 : 89,807.28 = 39,584.64 : x
  2. Step 2: Convert to fraction form
    65,070.36/89,807.28 = 39,584.64/x
  3. Step 3: Cross multiply
    65,070.36x = 89,807.28 × 39,584.64
  4. Step 4: Simplify right side
    65,070.36x = 3,554,988,848.18
  5. Step 5: Solve for x
    x = 3,554,988,848.18/65,070.36
  6. Step 6: Final answer
    x = 54,633.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.