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Finding the Fourth Proportional to 158,263.84, 218,407.92 and 86,643.64

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Solution

The fourth proportional to 158,263.84, 218,407.92 and 86,643.64 is: 119,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,263.84 : 218,407.92 = 86,643.64 : x
  2. Step 2: Convert to fraction form
    158,263.84/218,407.92 = 86,643.64/x
  3. Step 3: Cross multiply
    158,263.84x = 218,407.92 × 86,643.64
  4. Step 4: Simplify right side
    158,263.84x = 18,923,657,193.63
  5. Step 5: Solve for x
    x = 18,923,657,193.63/158,263.84
  6. Step 6: Final answer
    x = 119,570.31

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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.