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Finding the Fourth Proportional to 98,571.23, 135,980.88 and 64,565

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Solution

The fourth proportional to 98,571.23, 135,980.88 and 64,565 is: 89,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,571.23 : 135,980.88 = 64,565 : x
  2. Step 2: Convert to fraction form
    98,571.23/135,980.88 = 64,565/x
  3. Step 3: Cross multiply
    98,571.23x = 135,980.88 × 64,565
  4. Step 4: Simplify right side
    98,571.23x = 8,779,605,517.20
  5. Step 5: Solve for x
    x = 8,779,605,517.20/98,571.23
  6. Step 6: Final answer
    x = 89,068.64

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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.