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Finding the Fourth Proportional to 153,904.80, 230,662.80 and 137,186.40

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Solution

The fourth proportional to 153,904.80, 230,662.80 and 137,186.40 is: 205,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,904.80 : 230,662.80 = 137,186.40 : x
  2. Step 2: Convert to fraction form
    153,904.80/230,662.80 = 137,186.40/x
  3. Step 3: Cross multiply
    153,904.80x = 230,662.80 × 137,186.40
  4. Step 4: Simplify right side
    153,904.80x = 31,643,799,145.92
  5. Step 5: Solve for x
    x = 31,643,799,145.92/153,904.80
  6. Step 6: Final answer
    x = 205,606.32

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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.