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Finding the Fourth Proportional to 115,290, 159,102.63 and 64,989

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Solution

The fourth proportional to 115,290, 159,102.63 and 64,989 is: 89,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,290 : 159,102.63 = 64,989 : x
  2. Step 2: Convert to fraction form
    115,290/159,102.63 = 64,989/x
  3. Step 3: Cross multiply
    115,290x = 159,102.63 × 64,989
  4. Step 4: Simplify right side
    115,290x = 10,339,920,821.07
  5. Step 5: Solve for x
    x = 10,339,920,821.07/115,290
  6. Step 6: Final answer
    x = 89,686.19

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