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Finding the Fourth Proportional to 145,953.66, 218,939.74 and 61,698.12

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Solution

The fourth proportional to 145,953.66, 218,939.74 and 61,698.12 is: 92,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,953.66 : 218,939.74 = 61,698.12 : x
  2. Step 2: Convert to fraction form
    145,953.66/218,939.74 = 61,698.12/x
  3. Step 3: Cross multiply
    145,953.66x = 218,939.74 × 61,698.12
  4. Step 4: Simplify right side
    145,953.66x = 13,508,170,954.61
  5. Step 5: Solve for x
    x = 13,508,170,954.61/145,953.66
  6. Step 6: Final answer
    x = 92,551.09

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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.