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Finding the Fourth Proportional to 137,035.68, 205,670.16 and 53,988

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Solution

The fourth proportional to 137,035.68, 205,670.16 and 53,988 is: 81,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,035.68 : 205,670.16 = 53,988 : x
  2. Step 2: Convert to fraction form
    137,035.68/205,670.16 = 53,988/x
  3. Step 3: Cross multiply
    137,035.68x = 205,670.16 × 53,988
  4. Step 4: Simplify right side
    137,035.68x = 11,103,720,598.08
  5. Step 5: Solve for x
    x = 11,103,720,598.08/137,035.68
  6. Step 6: Final answer
    x = 81,027.95

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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.