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Finding the Fourth Proportional to 210,492, 290,478.96 and 121,068

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Solution

The fourth proportional to 210,492, 290,478.96 and 121,068 is: 167,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,492 : 290,478.96 = 121,068 : x
  2. Step 2: Convert to fraction form
    210,492/290,478.96 = 121,068/x
  3. Step 3: Cross multiply
    210,492x = 290,478.96 × 121,068
  4. Step 4: Simplify right side
    210,492x = 35,167,706,729.28
  5. Step 5: Solve for x
    x = 35,167,706,729.28/210,492
  6. Step 6: Final answer
    x = 167,073.84

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