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Finding the Fourth Proportional to 258,708.74, 387,907.58 and 98,795.30

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Solution

The fourth proportional to 258,708.74, 387,907.58 and 98,795.30 is: 148,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,708.74 : 387,907.58 = 98,795.30 : x
  2. Step 2: Convert to fraction form
    258,708.74/387,907.58 = 98,795.30/x
  3. Step 3: Cross multiply
    258,708.74x = 387,907.58 × 98,795.30
  4. Step 4: Simplify right side
    258,708.74x = 38,323,444,045.82
  5. Step 5: Solve for x
    x = 38,323,444,045.82/258,708.74
  6. Step 6: Final answer
    x = 148,133.55

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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.