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Finding the Fourth Proportional to 145,902.60, 218,837.70 and 119,561.40

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Solution

The fourth proportional to 145,902.60, 218,837.70 and 119,561.40 is: 179,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,902.60 : 218,837.70 = 119,561.40 : x
  2. Step 2: Convert to fraction form
    145,902.60/218,837.70 = 119,561.40/x
  3. Step 3: Cross multiply
    145,902.60x = 218,837.70 × 119,561.40
  4. Step 4: Simplify right side
    145,902.60x = 26,164,541,784.78
  5. Step 5: Solve for x
    x = 26,164,541,784.78/145,902.60
  6. Step 6: Final answer
    x = 179,328.82

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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.