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Finding the Fourth Proportional to 255,056.16, 351,971.28 and 147,611.28

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Solution

The fourth proportional to 255,056.16, 351,971.28 and 147,611.28 is: 203,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,056.16 : 351,971.28 = 147,611.28 : x
  2. Step 2: Convert to fraction form
    255,056.16/351,971.28 = 147,611.28/x
  3. Step 3: Cross multiply
    255,056.16x = 351,971.28 × 147,611.28
  4. Step 4: Simplify right side
    255,056.16x = 51,954,931,164.04
  5. Step 5: Solve for x
    x = 51,954,931,164.04/255,056.16
  6. Step 6: Final answer
    x = 203,699.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.