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Finding the Fourth Proportional to 153,702, 230,352.08 and 78,758.64

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Solution

The fourth proportional to 153,702, 230,352.08 and 78,758.64 is: 118,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702 : 230,352.08 = 78,758.64 : x
  2. Step 2: Convert to fraction form
    153,702/230,352.08 = 78,758.64/x
  3. Step 3: Cross multiply
    153,702x = 230,352.08 × 78,758.64
  4. Step 4: Simplify right side
    153,702x = 18,142,216,541.97
  5. Step 5: Solve for x
    x = 18,142,216,541.97/153,702
  6. Step 6: Final answer
    x = 118,035.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.