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Finding the Fourth Proportional to 145,859.73, 218,710.62 and 65,804.14

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Solution

The fourth proportional to 145,859.73, 218,710.62 and 65,804.14 is: 98,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,859.73 : 218,710.62 = 65,804.14 : x
  2. Step 2: Convert to fraction form
    145,859.73/218,710.62 = 65,804.14/x
  3. Step 3: Cross multiply
    145,859.73x = 218,710.62 × 65,804.14
  4. Step 4: Simplify right side
    145,859.73x = 14,392,064,257.97
  5. Step 5: Solve for x
    x = 14,392,064,257.97/145,859.73
  6. Step 6: Final answer
    x = 98,670.58

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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.