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Finding the Fourth Proportional to 139,886.32, 209,881.36 and 65,046.64

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Solution

The fourth proportional to 139,886.32, 209,881.36 and 65,046.64 is: 97,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,886.32 : 209,881.36 = 65,046.64 : x
  2. Step 2: Convert to fraction form
    139,886.32/209,881.36 = 65,046.64/x
  3. Step 3: Cross multiply
    139,886.32x = 209,881.36 × 65,046.64
  4. Step 4: Simplify right side
    139,886.32x = 13,652,077,266.63
  5. Step 5: Solve for x
    x = 13,652,077,266.63/139,886.32
  6. Step 6: Final answer
    x = 97,594.08

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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.