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Finding the Fourth Proportional to 137,017.68, 205,643.16 and 53,970

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Solution

The fourth proportional to 137,017.68, 205,643.16 and 53,970 is: 81,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,017.68 : 205,643.16 = 53,970 : x
  2. Step 2: Convert to fraction form
    137,017.68/205,643.16 = 53,970/x
  3. Step 3: Cross multiply
    137,017.68x = 205,643.16 × 53,970
  4. Step 4: Simplify right side
    137,017.68x = 11,098,561,345.20
  5. Step 5: Solve for x
    x = 11,098,561,345.20/137,017.68
  6. Step 6: Final answer
    x = 81,000.94

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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.