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Finding the Fourth Proportional to 258,047.94, 387,071.95 and 80,570.16

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Solution

The fourth proportional to 258,047.94, 387,071.95 and 80,570.16 is: 120,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,047.94 : 387,071.95 = 80,570.16 : x
  2. Step 2: Convert to fraction form
    258,047.94/387,071.95 = 80,570.16/x
  3. Step 3: Cross multiply
    258,047.94x = 387,071.95 × 80,570.16
  4. Step 4: Simplify right side
    258,047.94x = 31,186,448,943.01
  5. Step 5: Solve for x
    x = 31,186,448,943.01/258,047.94
  6. Step 6: Final answer
    x = 120,855.25

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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.