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Finding the Fourth Proportional to 158,202.50, 218,319.80 and 86,587.13

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Solution

The fourth proportional to 158,202.50, 218,319.80 and 86,587.13 is: 119,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,202.50 : 218,319.80 = 86,587.13 : x
  2. Step 2: Convert to fraction form
    158,202.50/218,319.80 = 86,587.13/x
  3. Step 3: Cross multiply
    158,202.50x = 218,319.80 × 86,587.13
  4. Step 4: Simplify right side
    158,202.50x = 18,903,685,017.04
  5. Step 5: Solve for x
    x = 18,903,685,017.04/158,202.50
  6. Step 6: Final answer
    x = 119,490.44

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1.5x scale

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.