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Finding the Fourth Proportional to 155,116.40, 232,674.60 and 101,972.30

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Solution

The fourth proportional to 155,116.40, 232,674.60 and 101,972.30 is: 152,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,116.40 : 232,674.60 = 101,972.30 : x
  2. Step 2: Convert to fraction form
    155,116.40/232,674.60 = 101,972.30/x
  3. Step 3: Cross multiply
    155,116.40x = 232,674.60 × 101,972.30
  4. Step 4: Simplify right side
    155,116.40x = 23,726,364,113.58
  5. Step 5: Solve for x
    x = 23,726,364,113.58/155,116.40
  6. Step 6: Final answer
    x = 152,958.45

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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.