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Finding the Fourth Proportional to 145,055.64, 217,594 and 60,731

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Solution

The fourth proportional to 145,055.64, 217,594 and 60,731 is: 91,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,055.64 : 217,594 = 60,731 : x
  2. Step 2: Convert to fraction form
    145,055.64/217,594 = 60,731/x
  3. Step 3: Cross multiply
    145,055.64x = 217,594 × 60,731
  4. Step 4: Simplify right side
    145,055.64x = 13,214,701,214
  5. Step 5: Solve for x
    x = 13,214,701,214/145,055.64
  6. Step 6: Final answer
    x = 91,100.91

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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.