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Finding the Fourth Proportional to 210,881.60, 316,322.40 and 86,193.44

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Solution

The fourth proportional to 210,881.60, 316,322.40 and 86,193.44 is: 129,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,881.60 : 316,322.40 = 86,193.44 : x
  2. Step 2: Convert to fraction form
    210,881.60/316,322.40 = 86,193.44/x
  3. Step 3: Cross multiply
    210,881.60x = 316,322.40 × 86,193.44
  4. Step 4: Simplify right side
    210,881.60x = 27,264,915,805.06
  5. Step 5: Solve for x
    x = 27,264,915,805.06/210,881.60
  6. Step 6: Final answer
    x = 129,290.16

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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.