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Finding the Fourth Proportional to 145,830, 218,783.88 and 71,958

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Solution

The fourth proportional to 145,830, 218,783.88 and 71,958 is: 107,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830 : 218,783.88 = 71,958 : x
  2. Step 2: Convert to fraction form
    145,830/218,783.88 = 71,958/x
  3. Step 3: Cross multiply
    145,830x = 218,783.88 × 71,958
  4. Step 4: Simplify right side
    145,830x = 15,743,250,437.04
  5. Step 5: Solve for x
    x = 15,743,250,437.04/145,830
  6. Step 6: Final answer
    x = 107,956.18

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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.