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Finding the Fourth Proportional to 137,218.40, 205,424.40 and 102,312.80

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Solution

The fourth proportional to 137,218.40, 205,424.40 and 102,312.80 is: 153,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,218.40 : 205,424.40 = 102,312.80 : x
  2. Step 2: Convert to fraction form
    137,218.40/205,424.40 = 102,312.80/x
  3. Step 3: Cross multiply
    137,218.40x = 205,424.40 × 102,312.80
  4. Step 4: Simplify right side
    137,218.40x = 21,017,545,552.32
  5. Step 5: Solve for x
    x = 21,017,545,552.32/137,218.40
  6. Step 6: Final answer
    x = 153,168.57

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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.