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Finding the Fourth Proportional to 145,903.64, 201,346.94 and 78,835.64

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Solution

The fourth proportional to 145,903.64, 201,346.94 and 78,835.64 is: 108,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,903.64 : 201,346.94 = 78,835.64 : x
  2. Step 2: Convert to fraction form
    145,903.64/201,346.94 = 78,835.64/x
  3. Step 3: Cross multiply
    145,903.64x = 201,346.94 × 78,835.64
  4. Step 4: Simplify right side
    145,903.64x = 15,873,314,876.94
  5. Step 5: Solve for x
    x = 15,873,314,876.94/145,903.64
  6. Step 6: Final answer
    x = 108,793.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.