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Finding the Fourth Proportional to 142,713.40, 214,070.10 and 87,417.40

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Solution

The fourth proportional to 142,713.40, 214,070.10 and 87,417.40 is: 131,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,713.40 : 214,070.10 = 87,417.40 : x
  2. Step 2: Convert to fraction form
    142,713.40/214,070.10 = 87,417.40/x
  3. Step 3: Cross multiply
    142,713.40x = 214,070.10 × 87,417.40
  4. Step 4: Simplify right side
    142,713.40x = 18,713,451,559.74
  5. Step 5: Solve for x
    x = 18,713,451,559.74/142,713.40
  6. Step 6: Final answer
    x = 131,126.10

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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.