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Finding the Fourth Proportional to 145,402.88, 200,656 and 81,740.80

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Solution

The fourth proportional to 145,402.88, 200,656 and 81,740.80 is: 112,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,402.88 : 200,656 = 81,740.80 : x
  2. Step 2: Convert to fraction form
    145,402.88/200,656 = 81,740.80/x
  3. Step 3: Cross multiply
    145,402.88x = 200,656 × 81,740.80
  4. Step 4: Simplify right side
    145,402.88x = 16,401,781,964.80
  5. Step 5: Solve for x
    x = 16,401,781,964.80/145,402.88
  6. Step 6: Final answer
    x = 112,802.32

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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.