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Finding the Fourth Proportional to 145,606.92, 218,319.71 and 61,323.58

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Solution

The fourth proportional to 145,606.92, 218,319.71 and 61,323.58 is: 91,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,606.92 : 218,319.71 = 61,323.58 : x
  2. Step 2: Convert to fraction form
    145,606.92/218,319.71 = 61,323.58/x
  3. Step 3: Cross multiply
    145,606.92x = 218,319.71 × 61,323.58
  4. Step 4: Simplify right side
    145,606.92x = 13,388,146,168.04
  5. Step 5: Solve for x
    x = 13,388,146,168.04/145,606.92
  6. Step 6: Final answer
    x = 91,947.19

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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.