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Finding the Fourth Proportional to 104,909.90, 157,430.46 and 42,580.40

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Solution

The fourth proportional to 104,909.90, 157,430.46 and 42,580.40 is: 63,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,909.90 : 157,430.46 = 42,580.40 : x
  2. Step 2: Convert to fraction form
    104,909.90/157,430.46 = 42,580.40/x
  3. Step 3: Cross multiply
    104,909.90x = 157,430.46 × 42,580.40
  4. Step 4: Simplify right side
    104,909.90x = 6,703,451,958.98
  5. Step 5: Solve for x
    x = 6,703,451,958.98/104,909.90
  6. Step 6: Final answer
    x = 63,897.23

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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.