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Finding the Fourth Proportional to 142,235.16, 213,486.66 and 72,164.76

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Solution

The fourth proportional to 142,235.16, 213,486.66 and 72,164.76 is: 108,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,235.16 : 213,486.66 = 72,164.76 : x
  2. Step 2: Convert to fraction form
    142,235.16/213,486.66 = 72,164.76/x
  3. Step 3: Cross multiply
    142,235.16x = 213,486.66 × 72,164.76
  4. Step 4: Simplify right side
    142,235.16x = 15,406,213,582.10
  5. Step 5: Solve for x
    x = 15,406,213,582.10/142,235.16
  6. Step 6: Final answer
    x = 108,315.09

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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.