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Finding the Fourth Proportional to 145,905.32, 218,794.42 and 77,501.90

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Solution

The fourth proportional to 145,905.32, 218,794.42 and 77,501.90 is: 116,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,905.32 : 218,794.42 = 77,501.90 : x
  2. Step 2: Convert to fraction form
    145,905.32/218,794.42 = 77,501.90/x
  3. Step 3: Cross multiply
    145,905.32x = 218,794.42 × 77,501.90
  4. Step 4: Simplify right side
    145,905.32x = 16,956,982,871.89
  5. Step 5: Solve for x
    x = 16,956,982,871.89/145,905.32
  6. Step 6: Final answer
    x = 116,219.09

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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.