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Finding the Fourth Proportional to 145,956.47, 218,943.94 and 61,705.54

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Solution

The fourth proportional to 145,956.47, 218,943.94 and 61,705.54 is: 92,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,956.47 : 218,943.94 = 61,705.54 : x
  2. Step 2: Convert to fraction form
    145,956.47/218,943.94 = 61,705.54/x
  3. Step 3: Cross multiply
    145,956.47x = 218,943.94 × 61,705.54
  4. Step 4: Simplify right side
    145,956.47x = 13,510,054,047.43
  5. Step 5: Solve for x
    x = 13,510,054,047.43/145,956.47
  6. Step 6: Final answer
    x = 92,562.21

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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.