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Finding the Fourth Proportional to 212,904.76, 293,802.78 and 117,409.72

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Solution

The fourth proportional to 212,904.76, 293,802.78 and 117,409.72 is: 162,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,904.76 : 293,802.78 = 117,409.72 : x
  2. Step 2: Convert to fraction form
    212,904.76/293,802.78 = 117,409.72/x
  3. Step 3: Cross multiply
    212,904.76x = 293,802.78 × 117,409.72
  4. Step 4: Simplify right side
    212,904.76x = 34,495,302,135.02
  5. Step 5: Solve for x
    x = 34,495,302,135.02/212,904.76
  6. Step 6: Final answer
    x = 162,022.22

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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.