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Finding the Fourth Proportional to 142,597.83, 214,107.02 and 79,541.16

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Solution

The fourth proportional to 142,597.83, 214,107.02 and 79,541.16 is: 119,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,597.83 : 214,107.02 = 79,541.16 : x
  2. Step 2: Convert to fraction form
    142,597.83/214,107.02 = 79,541.16/x
  3. Step 3: Cross multiply
    142,597.83x = 214,107.02 × 79,541.16
  4. Step 4: Simplify right side
    142,597.83x = 17,030,319,832.62
  5. Step 5: Solve for x
    x = 17,030,319,832.62/142,597.83
  6. Step 6: Final answer
    x = 119,429.02

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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.