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Finding the Fourth Proportional to 82,430.52, 123,444 and 74,443.32

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Solution

The fourth proportional to 82,430.52, 123,444 and 74,443.32 is: 111,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,430.52 : 123,444 = 74,443.32 : x
  2. Step 2: Convert to fraction form
    82,430.52/123,444 = 74,443.32/x
  3. Step 3: Cross multiply
    82,430.52x = 123,444 × 74,443.32
  4. Step 4: Simplify right side
    82,430.52x = 9,189,581,194.08
  5. Step 5: Solve for x
    x = 9,189,581,194.08/82,430.52
  6. Step 6: Final answer
    x = 111,482.75

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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.