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Finding the Fourth Proportional to 151,430.25, 208,978.07 and 84,366.57

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Solution

The fourth proportional to 151,430.25, 208,978.07 and 84,366.57 is: 116,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,430.25 : 208,978.07 = 84,366.57 : x
  2. Step 2: Convert to fraction form
    151,430.25/208,978.07 = 84,366.57/x
  3. Step 3: Cross multiply
    151,430.25x = 208,978.07 × 84,366.57
  4. Step 4: Simplify right side
    151,430.25x = 17,630,762,549.29
  5. Step 5: Solve for x
    x = 17,630,762,549.29/151,430.25
  6. Step 6: Final answer
    x = 116,428.27

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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.