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Finding the Fourth Proportional to 212,100.40, 292,695.40 and 115,301.04

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Solution

The fourth proportional to 212,100.40, 292,695.40 and 115,301.04 is: 159,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,100.40 : 292,695.40 = 115,301.04 : x
  2. Step 2: Convert to fraction form
    212,100.40/292,695.40 = 115,301.04/x
  3. Step 3: Cross multiply
    212,100.40x = 292,695.40 × 115,301.04
  4. Step 4: Simplify right side
    212,100.40x = 33,748,084,023.22
  5. Step 5: Solve for x
    x = 33,748,084,023.22/212,100.40
  6. Step 6: Final answer
    x = 159,113.72

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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.