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Finding the Fourth Proportional to 142,752.51, 213,895.16 and 86,421.88

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Solution

The fourth proportional to 142,752.51, 213,895.16 and 86,421.88 is: 129,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,752.51 : 213,895.16 = 86,421.88 : x
  2. Step 2: Convert to fraction form
    142,752.51/213,895.16 = 86,421.88/x
  3. Step 3: Cross multiply
    142,752.51x = 213,895.16 × 86,421.88
  4. Step 4: Simplify right side
    142,752.51x = 18,485,222,009.44
  5. Step 5: Solve for x
    x = 18,485,222,009.44/142,752.51
  6. Step 6: Final answer
    x = 129,491.40

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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.