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Finding the Fourth Proportional to 145,980.20, 218,954.10 and 40,809.80

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Solution

The fourth proportional to 145,980.20, 218,954.10 and 40,809.80 is: 61,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,980.20 : 218,954.10 = 40,809.80 : x
  2. Step 2: Convert to fraction form
    145,980.20/218,954.10 = 40,809.80/x
  3. Step 3: Cross multiply
    145,980.20x = 218,954.10 × 40,809.80
  4. Step 4: Simplify right side
    145,980.20x = 8,935,473,030.18
  5. Step 5: Solve for x
    x = 8,935,473,030.18/145,980.20
  6. Step 6: Final answer
    x = 61,210.17

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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.