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Finding the Fourth Proportional to 98,682, 136,184.40 and 53,970

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Solution

The fourth proportional to 98,682, 136,184.40 and 53,970 is: 74,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,682 : 136,184.40 = 53,970 : x
  2. Step 2: Convert to fraction form
    98,682/136,184.40 = 53,970/x
  3. Step 3: Cross multiply
    98,682x = 136,184.40 × 53,970
  4. Step 4: Simplify right side
    98,682x = 7,349,872,068
  5. Step 5: Solve for x
    x = 7,349,872,068/98,682
  6. Step 6: Final answer
    x = 74,480.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.