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Finding the Fourth Proportional to 98,569.42, 135,978.38 and 64,563.19

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Solution

The fourth proportional to 98,569.42, 135,978.38 and 64,563.19 is: 89,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,569.42 : 135,978.38 = 64,563.19 : x
  2. Step 2: Convert to fraction form
    98,569.42/135,978.38 = 64,563.19/x
  3. Step 3: Cross multiply
    98,569.42x = 135,978.38 × 64,563.19
  4. Step 4: Simplify right side
    98,569.42x = 8,779,197,563.18
  5. Step 5: Solve for x
    x = 8,779,197,563.18/98,569.42
  6. Step 6: Final answer
    x = 89,066.14

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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.