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Finding the Fourth Proportional to 158,178, 218,283.98 and 90,206.04

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Solution

The fourth proportional to 158,178, 218,283.98 and 90,206.04 is: 124,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,178 : 218,283.98 = 90,206.04 : x
  2. Step 2: Convert to fraction form
    158,178/218,283.98 = 90,206.04/x
  3. Step 3: Cross multiply
    158,178x = 218,283.98 × 90,206.04
  4. Step 4: Simplify right side
    158,178x = 19,690,533,431.24
  5. Step 5: Solve for x
    x = 19,690,533,431.24/158,178
  6. Step 6: Final answer
    x = 124,483.39

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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.