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Finding the Fourth Proportional to 142,128, 213,176.88 and 75,497.40

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Solution

The fourth proportional to 142,128, 213,176.88 and 75,497.40 is: 113,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,128 : 213,176.88 = 75,497.40 : x
  2. Step 2: Convert to fraction form
    142,128/213,176.88 = 75,497.40/x
  3. Step 3: Cross multiply
    142,128x = 213,176.88 × 75,497.40
  4. Step 4: Simplify right side
    142,128x = 16,094,300,180.11
  5. Step 5: Solve for x
    x = 16,094,300,180.11/142,128
  6. Step 6: Final answer
    x = 113,238.07

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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.