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Finding the Fourth Proportional to 212,330.40, 292,962.88 and 136,788

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Solution

The fourth proportional to 212,330.40, 292,962.88 and 136,788 is: 188,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,330.40 : 292,962.88 = 136,788 : x
  2. Step 2: Convert to fraction form
    212,330.40/292,962.88 = 136,788/x
  3. Step 3: Cross multiply
    212,330.40x = 292,962.88 × 136,788
  4. Step 4: Simplify right side
    212,330.40x = 40,073,806,429.44
  5. Step 5: Solve for x
    x = 40,073,806,429.44/212,330.40
  6. Step 6: Final answer
    x = 188,733.25

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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.