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Finding the Fourth Proportional to 137,570.40, 205,779.60 and 123,631.20

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Solution

The fourth proportional to 137,570.40, 205,779.60 and 123,631.20 is: 184,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,570.40 : 205,779.60 = 123,631.20 : x
  2. Step 2: Convert to fraction form
    137,570.40/205,779.60 = 123,631.20/x
  3. Step 3: Cross multiply
    137,570.40x = 205,779.60 × 123,631.20
  4. Step 4: Simplify right side
    137,570.40x = 25,440,778,883.52
  5. Step 5: Solve for x
    x = 25,440,778,883.52/137,570.40
  6. Step 6: Final answer
    x = 184,929.16

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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.