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Finding the Fourth Proportional to 98,942, 148,413 and 43,538

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Solution

The fourth proportional to 98,942, 148,413 and 43,538 is: 65,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,942 : 148,413 = 43,538 : x
  2. Step 2: Convert to fraction form
    98,942/148,413 = 43,538/x
  3. Step 3: Cross multiply
    98,942x = 148,413 × 43,538
  4. Step 4: Simplify right side
    98,942x = 6,461,605,194
  5. Step 5: Solve for x
    x = 6,461,605,194/98,942
  6. Step 6: Final answer
    x = 65,307

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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.