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Finding the Fourth Proportional to 145,577.50, 200,430.80 and 142,401.19

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Solution

The fourth proportional to 145,577.50, 200,430.80 and 142,401.19 is: 196,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,577.50 : 200,430.80 = 142,401.19 : x
  2. Step 2: Convert to fraction form
    145,577.50/200,430.80 = 142,401.19/x
  3. Step 3: Cross multiply
    145,577.50x = 200,430.80 × 142,401.19
  4. Step 4: Simplify right side
    145,577.50x = 28,541,584,930.39
  5. Step 5: Solve for x
    x = 28,541,584,930.39/145,577.50
  6. Step 6: Final answer
    x = 196,057.66

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1.5x scale

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.