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Finding the Fourth Proportional to 137,011.72, 205,499.04 and 37,178.32

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Solution

The fourth proportional to 137,011.72, 205,499.04 and 37,178.32 is: 55,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,011.72 : 205,499.04 = 37,178.32 : x
  2. Step 2: Convert to fraction form
    137,011.72/205,499.04 = 37,178.32/x
  3. Step 3: Cross multiply
    137,011.72x = 205,499.04 × 37,178.32
  4. Step 4: Simplify right side
    137,011.72x = 7,640,109,068.81
  5. Step 5: Solve for x
    x = 7,640,109,068.81/137,011.72
  6. Step 6: Final answer
    x = 55,762.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.