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Finding the Fourth Proportional to 115,102.65, 158,820.60 and 64,114.08

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Solution

The fourth proportional to 115,102.65, 158,820.60 and 64,114.08 is: 88,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,102.65 : 158,820.60 = 64,114.08 : x
  2. Step 2: Convert to fraction form
    115,102.65/158,820.60 = 64,114.08/x
  3. Step 3: Cross multiply
    115,102.65x = 158,820.60 × 64,114.08
  4. Step 4: Simplify right side
    115,102.65x = 10,182,636,654.05
  5. Step 5: Solve for x
    x = 10,182,636,654.05/115,102.65
  6. Step 6: Final answer
    x = 88,465.70

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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.