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Finding the Fourth Proportional to 145,957.52, 201,421.36 and 78,889.52

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Solution

The fourth proportional to 145,957.52, 201,421.36 and 78,889.52 is: 108,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,957.52 : 201,421.36 = 78,889.52 : x
  2. Step 2: Convert to fraction form
    145,957.52/201,421.36 = 78,889.52/x
  3. Step 3: Cross multiply
    145,957.52x = 201,421.36 × 78,889.52
  4. Step 4: Simplify right side
    145,957.52x = 15,890,034,408.15
  5. Step 5: Solve for x
    x = 15,890,034,408.15/145,957.52
  6. Step 6: Final answer
    x = 108,867.53

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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.