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Finding the Fourth Proportional to 153,873.16, 230,835.66 and 70,765

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Solution

The fourth proportional to 153,873.16, 230,835.66 and 70,765 is: 106,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,873.16 : 230,835.66 = 70,765 : x
  2. Step 2: Convert to fraction form
    153,873.16/230,835.66 = 70,765/x
  3. Step 3: Cross multiply
    153,873.16x = 230,835.66 × 70,765
  4. Step 4: Simplify right side
    153,873.16x = 16,335,085,479.90
  5. Step 5: Solve for x
    x = 16,335,085,479.90/153,873.16
  6. Step 6: Final answer
    x = 106,159.42

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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.