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Finding the Fourth Proportional to 142,717.40, 214,076.10 and 87,421.40

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Solution

The fourth proportional to 142,717.40, 214,076.10 and 87,421.40 is: 131,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,717.40 : 214,076.10 = 87,421.40 : x
  2. Step 2: Convert to fraction form
    142,717.40/214,076.10 = 87,421.40/x
  3. Step 3: Cross multiply
    142,717.40x = 214,076.10 × 87,421.40
  4. Step 4: Simplify right side
    142,717.40x = 18,714,832,368.54
  5. Step 5: Solve for x
    x = 18,714,832,368.54/142,717.40
  6. Step 6: Final answer
    x = 131,132.10

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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.