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Finding the Fourth Proportional to 151,430.64, 208,971.48 and 83,453.91

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Solution

The fourth proportional to 151,430.64, 208,971.48 and 83,453.91 is: 115,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,430.64 : 208,971.48 = 83,453.91 : x
  2. Step 2: Convert to fraction form
    151,430.64/208,971.48 = 83,453.91/x
  3. Step 3: Cross multiply
    151,430.64x = 208,971.48 × 83,453.91
  4. Step 4: Simplify right side
    151,430.64x = 17,439,487,084.49
  5. Step 5: Solve for x
    x = 17,439,487,084.49/151,430.64
  6. Step 6: Final answer
    x = 115,164.85

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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.