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Finding the Fourth Proportional to 122,364.40, 168,863 and 71,412.16

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Solution

The fourth proportional to 122,364.40, 168,863 and 71,412.16 is: 98,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,364.40 : 168,863 = 71,412.16 : x
  2. Step 2: Convert to fraction form
    122,364.40/168,863 = 71,412.16/x
  3. Step 3: Cross multiply
    122,364.40x = 168,863 × 71,412.16
  4. Step 4: Simplify right side
    122,364.40x = 12,058,871,574.08
  5. Step 5: Solve for x
    x = 12,058,871,574.08/122,364.40
  6. Step 6: Final answer
    x = 98,548.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.