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Finding the Fourth Proportional to 145,988.06, 218,981.60 and 35,180.06

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Solution

The fourth proportional to 145,988.06, 218,981.60 and 35,180.06 is: 52,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,988.06 : 218,981.60 = 35,180.06 : x
  2. Step 2: Convert to fraction form
    145,988.06/218,981.60 = 35,180.06/x
  3. Step 3: Cross multiply
    145,988.06x = 218,981.60 × 35,180.06
  4. Step 4: Simplify right side
    145,988.06x = 7,703,785,826.90
  5. Step 5: Solve for x
    x = 7,703,785,826.90/145,988.06
  6. Step 6: Final answer
    x = 52,769.97

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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.