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Finding the Fourth Proportional to 98,569.23, 135,978.12 and 64,563

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Solution

The fourth proportional to 98,569.23, 135,978.12 and 64,563 is: 89,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,569.23 : 135,978.12 = 64,563 : x
  2. Step 2: Convert to fraction form
    98,569.23/135,978.12 = 64,563/x
  3. Step 3: Cross multiply
    98,569.23x = 135,978.12 × 64,563
  4. Step 4: Simplify right side
    98,569.23x = 8,779,155,361.56
  5. Step 5: Solve for x
    x = 8,779,155,361.56/98,569.23
  6. Step 6: Final answer
    x = 89,065.88

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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.