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Finding the Fourth Proportional to 142,316.52, 213,467.08 and 72,194.01

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Solution

The fourth proportional to 142,316.52, 213,467.08 and 72,194.01 is: 108,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,316.52 : 213,467.08 = 72,194.01 : x
  2. Step 2: Convert to fraction form
    142,316.52/213,467.08 = 72,194.01/x
  3. Step 3: Cross multiply
    142,316.52x = 213,467.08 × 72,194.01
  4. Step 4: Simplify right side
    142,316.52x = 15,411,044,508.19
  5. Step 5: Solve for x
    x = 15,411,044,508.19/142,316.52
  6. Step 6: Final answer
    x = 108,287.11

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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.