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Finding the Fourth Proportional to 102,361.40, 153,323.40 and 84,865.40

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Solution

The fourth proportional to 102,361.40, 153,323.40 and 84,865.40 is: 127,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,361.40 : 153,323.40 = 84,865.40 : x
  2. Step 2: Convert to fraction form
    102,361.40/153,323.40 = 84,865.40/x
  3. Step 3: Cross multiply
    102,361.40x = 153,323.40 × 84,865.40
  4. Step 4: Simplify right side
    102,361.40x = 13,011,851,670.36
  5. Step 5: Solve for x
    x = 13,011,851,670.36/102,361.40
  6. Step 6: Final answer
    x = 127,116.78

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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.