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Finding the Fourth Proportional to 154,965.60, 232,448.40 and 42,645.60

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Solution

The fourth proportional to 154,965.60, 232,448.40 and 42,645.60 is: 63,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,965.60 : 232,448.40 = 42,645.60 : x
  2. Step 2: Convert to fraction form
    154,965.60/232,448.40 = 42,645.60/x
  3. Step 3: Cross multiply
    154,965.60x = 232,448.40 × 42,645.60
  4. Step 4: Simplify right side
    154,965.60x = 9,912,901,487.04
  5. Step 5: Solve for x
    x = 9,912,901,487.04/154,965.60
  6. Step 6: Final answer
    x = 63,968.40

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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.