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Finding the Fourth Proportional to 98,658, 136,151.28 and 53,946

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Solution

The fourth proportional to 98,658, 136,151.28 and 53,946 is: 74,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,658 : 136,151.28 = 53,946 : x
  2. Step 2: Convert to fraction form
    98,658/136,151.28 = 53,946/x
  3. Step 3: Cross multiply
    98,658x = 136,151.28 × 53,946
  4. Step 4: Simplify right side
    98,658x = 7,344,816,950.88
  5. Step 5: Solve for x
    x = 7,344,816,950.88/98,658
  6. Step 6: Final answer
    x = 74,447.25

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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.