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Finding the Fourth Proportional to 98,989, 148,412.96 and 46,369.78

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Solution

The fourth proportional to 98,989, 148,412.96 and 46,369.78 is: 69,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,989 : 148,412.96 = 46,369.78 : x
  2. Step 2: Convert to fraction form
    98,989/148,412.96 = 46,369.78/x
  3. Step 3: Cross multiply
    98,989x = 148,412.96 × 46,369.78
  4. Step 4: Simplify right side
    98,989x = 6,881,876,304.35
  5. Step 5: Solve for x
    x = 6,881,876,304.35/98,989
  6. Step 6: Final answer
    x = 69,521.63

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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.