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Finding the Fourth Proportional to 115,165.52, 158,925.80 and 64,178

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Solution

The fourth proportional to 115,165.52, 158,925.80 and 64,178 is: 88,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,165.52 : 158,925.80 = 64,178 : x
  2. Step 2: Convert to fraction form
    115,165.52/158,925.80 = 64,178/x
  3. Step 3: Cross multiply
    115,165.52x = 158,925.80 × 64,178
  4. Step 4: Simplify right side
    115,165.52x = 10,199,539,992.40
  5. Step 5: Solve for x
    x = 10,199,539,992.40/115,165.52
  6. Step 6: Final answer
    x = 88,564.18

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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.